diff --git a/.coveragerc b/.coveragerc
index b1b560b..531c227 100644
--- a/.coveragerc
+++ b/.coveragerc
@@ -15,6 +15,7 @@ source =
 [report]
 show_missing = true
 precision = 2
+ignore_errors = True
 exclude_lines =
     except ImportError:
     if __name__ == '__main__':
diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 688799b..f2c836c 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -103,10 +103,16 @@ jobs:
           - "3.10"
           - "3.11"
           - "3.12"
-        os: [ubuntu-20.04, macos-11]
+          - "3.13"
+        os: [ubuntu-latest, macos-latest, windows-latest]
         exclude:
-          - os: macos-11
+          - os: macos-latest
+            python-version: "3.7"
+          - os: macos-latest
             python-version: "pypy-3.10"
+        include:
+          - python-version: "3.7"
+            os: macos-12
 
     steps:
       - name: checkout
@@ -115,29 +121,56 @@ jobs:
         uses: actions/setup-python@v5
         with:
           python-version: ${{ matrix.python-version }}
+          allow-prereleases: true
       ###
       # Caching.
       # This actually *restores* a cache and schedules a cleanup action
       # to save the cache. So it must come before the thing we want to use
       # the cache.
       ###
-      - name: Get pip cache dir
-        id: pip-cache
+      - name: Get pip cache dir (default)
+        id: pip-cache-default
+        if: ${{ !startsWith(runner.os, 'Windows') }}
         run: |
           echo "dir=$(pip cache dir)" >>$GITHUB_OUTPUT
 
-      - name: pip cache
+      - name: Get pip cache dir (Windows)
+        id: pip-cache-windows
+        if: ${{ startsWith(runner.os, 'Windows') }}
+        run: |
+          echo "dir=$(pip cache dir)" >> $Env:GITHUB_OUTPUT
+
+      - name: pip cache (default)
         uses: actions/cache@v4
+        if: ${{ !startsWith(runner.os, 'Windows') }}
         with:
-          path: ${{ steps.pip-cache.outputs.dir }}
+          path: ${{ steps.pip-cache-default.outputs.dir }}
           key: ${{ runner.os }}-pip-${{ matrix.python-version }}
           restore-keys: |
             ${{ runner.os }}-pip-
 
+      - name: pip cache (Windows)
+        uses: actions/cache@v4
+        if: ${{ startsWith(runner.os, 'Windows') }}
+        with:
+          path: ${{ steps.pip-cache-windows.outputs.dir }}
+          key: ${{ runner.os }}-pip-${{ matrix.python-version }}
+          restore-keys: |
+            ${{ runner.os }}-pip-
+
+      - name: Install Build Dependencies (3.13)
+        if: matrix.python-version == '3.13'
+        run: |
+          pip install -U pip
+          pip install -U "setuptools<69" wheel twine
+          # Remove this hack once 'cffi' has a release supporting Python 3.13.
+          pip install -e "git+https://github.com/python-cffi/cffi.git#egg=cffi"
       - name: Install Build Dependencies
+        if: matrix.python-version != '3.13'
         run: |
           pip install -U pip
-          pip install -U setuptools wheel twine cffi
+          pip install -U "setuptools<69" wheel twine
+          pip install cffi
           pip install -U persistent
 
       - name: Build BTrees (macOS x86_64, Python 3.8+)
@@ -179,7 +212,15 @@ jobs:
           python setup.py build_ext -i
           python setup.py bdist_wheel
 
+      - name: Install BTrees and dependencies (3.13)
+        if: matrix.python-version == '3.13'
+        run: |
+          # Install to collect dependencies into the (pip) cache.
+          # Use "--pre" here because dependencies with support for this future
+          # Python release may only be available as pre-releases
+          pip install --pre .[test]
       - name: Install BTrees and dependencies
+        if: matrix.python-version != '3.13'
         run: |
           # Install to collect dependencies into the (pip) cache.
           pip install .[test]
@@ -214,15 +255,16 @@ jobs:
         with:
           name: BTrees-${{ runner.os }}-${{ matrix.python-version }}.whl
           path: dist/*whl
-      - name: Publish package to PyPI (mac)
-        # We cannot 'uses: pypa/gh-action-pypi-publish@v1.4.1' because
-        # that's apparently a container action, and those don't run on
-        # the Mac.
+      - name: Publish package to PyPI (Non-Linux)
+        # We cannot use pypa/gh-action-pypi-publish because that
+        # is a container action, and those don't run on macOS
+        # or Windows GHA runners.
         if: >
           github.event_name == 'push'
           && startsWith(github.ref, 'refs/tags')
-          && startsWith(runner.os, 'Mac')
+          && !startsWith(runner.os, 'Linux')
           && !startsWith(matrix.python-version, 'pypy')
+          && !startsWith(matrix.python-version, '3.13')
         env:
           TWINE_PASSWORD: ${{ secrets.TWINE_PASSWORD }}
         run: |
@@ -242,10 +284,16 @@ jobs:
           - "3.10"
           - "3.11"
           - "3.12"
-        os: [ubuntu-20.04, macos-11]
+          - "3.13"
+        os: [ubuntu-latest, macos-latest, windows-latest]
         exclude:
-          - os: macos-11
+          - os: macos-latest
+            python-version: "3.7"
+          - os: macos-latest
             python-version: "pypy-3.10"
+        include:
+          - python-version: "3.7"
+            os: macos-12
 
     steps:
       - name: checkout
@@ -254,21 +302,39 @@ jobs:
         uses: actions/setup-python@v5
         with:
           python-version: ${{ matrix.python-version }}
+          allow-prereleases: true
       ###
       # Caching.
       # This actually *restores* a cache and schedules a cleanup action
       # to save the cache. So it must come before the thing we want to use
       # the cache.
       ###
-      - name: Get pip cache dir
-        id: pip-cache
+      - name: Get pip cache dir (default)
+        id: pip-cache-default
+        if: ${{ !startsWith(runner.os, 'Windows') }}
         run: |
           echo "dir=$(pip cache dir)" >>$GITHUB_OUTPUT
 
-      - name: pip cache
+      - name: Get pip cache dir (Windows)
+        id: pip-cache-windows
+        if: ${{ startsWith(runner.os, 'Windows') }}
+        run: |
+          echo "dir=$(pip cache dir)" >> $Env:GITHUB_OUTPUT
+
+      - name: pip cache (default)
+        uses: actions/cache@v4
+        if: ${{ !startsWith(runner.os, 'Windows') }}
+        with:
+          path: ${{ steps.pip-cache-default.outputs.dir }}
+          key: ${{ runner.os }}-pip-${{ matrix.python-version }}
+          restore-keys: |
+            ${{ runner.os }}-pip-
+
+      - name: pip cache (Windows)
         uses: actions/cache@v4
+        if: ${{ startsWith(runner.os, 'Windows') }}
         with:
-          path: ${{ steps.pip-cache.outputs.dir }}
+          path: ${{ steps.pip-cache-windows.outputs.dir }}
           key: ${{ runner.os }}-pip-${{ matrix.python-version }}
           restore-keys: |
             ${{ runner.os }}-pip-
@@ -278,9 +344,26 @@ jobs:
         with:
           name: BTrees-${{ runner.os }}-${{ matrix.python-version }}.whl
           path: dist/
+      - name: Install BTrees 3.13 ${{ matrix.python-version }}
+        if: matrix.python-version == '3.13'
+        run: |
+          pip install -U wheel "setuptools<69"
+          # Remove this hack once 'cffi' has a release supporting Python 3.13.
+          pip install -e "git+https://github.com/python-cffi/cffi.git#egg=cffi"
+          # coverage might have a wheel on PyPI for a future python version which is
+          # not ABI compatible with the current one, so build it from sdist:
+          pip install -U --no-binary :all: coverage
+          # Unzip into src/ so that testrunner can find the .so files
+          # when we ask it to load tests from that directory. This
+          # might also save some build time?
+          unzip -n dist/BTrees-*whl -d src
+          # Use "--pre" here because dependencies with support for this future
+          # Python release may only be available as pre-releases
+          pip install --pre -U -e .[test]
       - name: Install BTrees
+        if: matrix.python-version != '3.13'
         run: |
-          pip install -U wheel setuptools
+          pip install -U wheel "setuptools<69"
           pip install -U coverage
           pip install -U 'cffi; platform_python_implementation == "CPython"'
           # Unzip into src/ so that testrunner can find the .so files
@@ -295,7 +378,9 @@ jobs:
       - name: Run tests without C extensions
         run:
           # coverage makes PyPy run about 3x slower!
-          PURE_PYTHON=1 python -m coverage run -p -m zope.testrunner --test-path=src --auto-color --auto-progress
+          python -m coverage run -p -m zope.testrunner --test-path=src --auto-color --auto-progress
+        env:
+          PURE_PYTHON: 1
       - name: Report Coverage
         run: |
           coverage combine
@@ -309,7 +394,7 @@ jobs:
 
   coveralls_finish:
     needs: test
-    runs-on: ubuntu-20.04
+    runs-on: ubuntu-latest
     steps:
     - name: Coveralls Finished
       uses: AndreMiras/coveralls-python-action@develop
@@ -322,7 +407,7 @@ jobs:
     strategy:
       matrix:
         python-version: ["3.9"]
-        os: [ubuntu-20.04]
+        os: [ubuntu-latest]
 
     steps:
       - name: checkout
@@ -331,21 +416,39 @@ jobs:
         uses: actions/setup-python@v5
         with:
           python-version: ${{ matrix.python-version }}
+          allow-prereleases: true
       ###
       # Caching.
       # This actually *restores* a cache and schedules a cleanup action
       # to save the cache. So it must come before the thing we want to use
       # the cache.
       ###
-      - name: Get pip cache dir
-        id: pip-cache
+      - name: Get pip cache dir (default)
+        id: pip-cache-default
+        if: ${{ !startsWith(runner.os, 'Windows') }}
         run: |
           echo "dir=$(pip cache dir)" >>$GITHUB_OUTPUT
 
-      - name: pip cache
+      - name: Get pip cache dir (Windows)
+        id: pip-cache-windows
+        if: ${{ startsWith(runner.os, 'Windows') }}
+        run: |
+          echo "dir=$(pip cache dir)" >> $Env:GITHUB_OUTPUT
+
+      - name: pip cache (default)
         uses: actions/cache@v4
+        if: ${{ !startsWith(runner.os, 'Windows') }}
         with:
-          path: ${{ steps.pip-cache.outputs.dir }}
+          path: ${{ steps.pip-cache-default.outputs.dir }}
+          key: ${{ runner.os }}-pip-${{ matrix.python-version }}
+          restore-keys: |
+            ${{ runner.os }}-pip-
+
+      - name: pip cache (Windows)
+        uses: actions/cache@v4
+        if: ${{ startsWith(runner.os, 'Windows') }}
+        with:
+          path: ${{ steps.pip-cache-windows.outputs.dir }}
           key: ${{ runner.os }}-pip-${{ matrix.python-version }}
           restore-keys: |
             ${{ runner.os }}-pip-
@@ -373,7 +476,7 @@ jobs:
     strategy:
       matrix:
         python-version: ["3.9"]
-        os: [ubuntu-20.04]
+        os: [ubuntu-latest]
 
     steps:
       - name: checkout
@@ -382,21 +485,39 @@ jobs:
         uses: actions/setup-python@v5
         with:
           python-version: ${{ matrix.python-version }}
+          allow-prereleases: true
       ###
       # Caching.
       # This actually *restores* a cache and schedules a cleanup action
       # to save the cache. So it must come before the thing we want to use
       # the cache.
       ###
-      - name: Get pip cache dir
-        id: pip-cache
+      - name: Get pip cache dir (default)
+        id: pip-cache-default
+        if: ${{ !startsWith(runner.os, 'Windows') }}
         run: |
           echo "dir=$(pip cache dir)" >>$GITHUB_OUTPUT
 
-      - name: pip cache
+      - name: Get pip cache dir (Windows)
+        id: pip-cache-windows
+        if: ${{ startsWith(runner.os, 'Windows') }}
+        run: |
+          echo "dir=$(pip cache dir)" >> $Env:GITHUB_OUTPUT
+
+      - name: pip cache (default)
         uses: actions/cache@v4
+        if: ${{ !startsWith(runner.os, 'Windows') }}
         with:
-          path: ${{ steps.pip-cache.outputs.dir }}
+          path: ${{ steps.pip-cache-default.outputs.dir }}
+          key: ${{ runner.os }}-pip-${{ matrix.python-version }}
+          restore-keys: |
+            ${{ runner.os }}-pip-
+
+      - name: pip cache (Windows)
+        uses: actions/cache@v4
+        if: ${{ startsWith(runner.os, 'Windows') }}
+        with:
+          path: ${{ steps.pip-cache-windows.outputs.dir }}
           key: ${{ runner.os }}-pip-${{ matrix.python-version }}
           restore-keys: |
             ${{ runner.os }}-pip-
@@ -420,7 +541,7 @@ jobs:
           # python -m pylint --limit-inference-results=1 --rcfile=.pylintrc BTrees -f parseable -r n
 
   manylinux:
-    runs-on: ubuntu-20.04
+    runs-on: ubuntu-latest
     if: github.event_name != 'pull_request' || github.event.pull_request.head.repo.full_name != github.event.pull_request.base.repo.full_name
     # We use a regular Python matrix entry to share as much code as possible.
     strategy:
@@ -435,21 +556,39 @@ jobs:
         uses: actions/setup-python@v5
         with:
           python-version: ${{ matrix.python-version }}
+          allow-prereleases: true
       ###
       # Caching.
       # This actually *restores* a cache and schedules a cleanup action
       # to save the cache. So it must come before the thing we want to use
       # the cache.
       ###
-      - name: Get pip cache dir
-        id: pip-cache
+      - name: Get pip cache dir (default)
+        id: pip-cache-default
+        if: ${{ !startsWith(runner.os, 'Windows') }}
         run: |
           echo "dir=$(pip cache dir)" >>$GITHUB_OUTPUT
 
-      - name: pip cache
+      - name: Get pip cache dir (Windows)
+        id: pip-cache-windows
+        if: ${{ startsWith(runner.os, 'Windows') }}
+        run: |
+          echo "dir=$(pip cache dir)" >> $Env:GITHUB_OUTPUT
+
+      - name: pip cache (default)
+        uses: actions/cache@v4
+        if: ${{ !startsWith(runner.os, 'Windows') }}
+        with:
+          path: ${{ steps.pip-cache-default.outputs.dir }}
+          key: ${{ runner.os }}-pip_manylinux-${{ matrix.image }}-${{ matrix.python-version }}
+          restore-keys: |
+            ${{ runner.os }}-pip-
+
+      - name: pip cache (Windows)
         uses: actions/cache@v4
+        if: ${{ startsWith(runner.os, 'Windows') }}
         with:
-          path: ${{ steps.pip-cache.outputs.dir }}
+          path: ${{ steps.pip-cache-windows.outputs.dir }}
           key: ${{ runner.os }}-pip_manylinux-${{ matrix.image }}-${{ matrix.python-version }}
           restore-keys: |
             ${{ runner.os }}-pip-
@@ -487,7 +626,7 @@ jobs:
           path: wheelhouse/*whl
           name: manylinux_${{ matrix.image }}_wheels.zip
       - name: Restore pip cache permissions
-        run: sudo chown -R $(whoami) ${{ steps.pip-cache.outputs.dir }}
+        run: sudo chown -R $(whoami) ${{ steps.pip-cache-default.outputs.dir }}
       - name: Publish package to PyPI
         uses: pypa/gh-action-pypi-publish@release/v1
         if: >
@@ -496,5 +635,5 @@ jobs:
         with:
           user: __token__
           password: ${{ secrets.TWINE_PASSWORD }}
-          skip_existing: true
-          packages_dir: wheelhouse/
+          skip-existing: true
+          packages-dir: wheelhouse/
diff --git a/.manylinux-install.sh b/.manylinux-install.sh
index 918a08f..98108cd 100755
--- a/.manylinux-install.sh
+++ b/.manylinux-install.sh
@@ -40,6 +40,7 @@ yum -y install libffi-devel
 
 tox_env_map() {
     case $1 in
+        *"cp313"*) echo 'py313';;
         *"cp37"*) echo 'py37';;
         *"cp38"*) echo 'py38';;
         *"cp39"*) echo 'py39';;
@@ -53,14 +54,20 @@ tox_env_map() {
 # Compile wheels
 for PYBIN in /opt/python/*/bin; do
     if \
-       [[ "${PYBIN}" == *"cp311"* ]] || \
-       [[ "${PYBIN}" == *"cp312"* ]] || \
-       [[ "${PYBIN}" == *"cp37"* ]] || \
-       [[ "${PYBIN}" == *"cp38"* ]] || \
-       [[ "${PYBIN}" == *"cp39"* ]] || \
-       [[ "${PYBIN}" == *"cp310"* ]] ; then
-        "${PYBIN}/pip" install -e /io/
-        "${PYBIN}/pip" wheel /io/ -w wheelhouse/
+       [[ "${PYBIN}" == *"cp313/"* ]] || \
+       [[ "${PYBIN}" == *"cp311/"* ]] || \
+       [[ "${PYBIN}" == *"cp312/"* ]] || \
+       [[ "${PYBIN}" == *"cp37/"* ]] || \
+       [[ "${PYBIN}" == *"cp38/"* ]] || \
+       [[ "${PYBIN}" == *"cp39/"* ]] || \
+       [[ "${PYBIN}" == *"cp310/"* ]] ; then
+        if [[ "${PYBIN}" == *"cp313/"* ]] ; then
+            "${PYBIN}/pip" install --pre -e /io/
+            "${PYBIN}/pip" wheel /io/ --pre -w wheelhouse/
+        else
+            "${PYBIN}/pip" install -e /io/
+            "${PYBIN}/pip" wheel /io/ -w wheelhouse/
+        fi
         if [ `uname -m` == 'aarch64' ]; then
           # Running the test suite takes forever in
           # emulation; an early run (using tox, which is also slow)
diff --git a/.meta.toml b/.meta.toml
index e95a35a..6a19391 100644
--- a/.meta.toml
+++ b/.meta.toml
@@ -2,13 +2,13 @@
 # https://github.com/zopefoundation/meta/tree/master/config/c-code
 [meta]
 template = "c-code"
-commit-id = "1351c95d"
+commit-id = "4dc0484e"
 
 [python]
-with-appveyor = true
-with-windows = false
+with-appveyor = false
+with-windows = true
 with-pypy = true
-with-future-python = false
+with-future-python = true
 with-docs = true
 with-sphinx-doctests = true
 with-macos = false
@@ -61,16 +61,6 @@ additional-build-dependencies = [
     "persistent",
     ]
 
-[appveyor]
-global-env-vars = [
-    "# Currently the builds use @mgedmin's Appveyor account.  The PyPI token belongs",
-    "# to zope.wheelbuilder, which is managed by @mgedmin and @dataflake.",
-    "global:",
-    "  TWINE_USERNAME: __token__",
-    "  TWINE_PASSWORD:",
-    "    secure: aoZC/+rvJKg8B5GMGIxd1a+XrG6uK7c37/wnoeA74KlRM9aqyayAnJxNyzyAAsCNzdLl7gz6wEC7lq/oYd3Rcb8mcK+K2U1mqbeG3SeIigCWLKtTnAK9EUiuaVGKVrKvywY7Ckp1uBh5To7PQn5ZS6QEe7YvJODljrGc8O2Z3TjofUzwE28L7P89BgZwCr+/3oOXsY3DHZXUGGYcIjkczLXoDsZ+X9/1WWbVdoTkgeXZmVQbl/a9nYilXILOh2NQtJLn0cInPZyPLfdGw88ZWw==",
-    ]
-
 [c-code]
 manylinux-install-setup = [
     "export CFLAGS=\"-pipe\"",
@@ -103,3 +93,4 @@ manylinux-aarch64-tests = [
     "    cd ..",
     "fi",
     ]
+require-cffi = true
diff --git a/CHANGES.rst b/CHANGES.rst
index a5acd59..f7899fc 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -5,7 +5,7 @@
 5.3 (unreleased)
 ================
 
-- Remove preliminary support for Python 3.13 as it is not yet ready.
+- Build Windows wheels on GHA.
 
 
 5.2 (2024-02-07)
diff --git a/MANIFEST.in b/MANIFEST.in
index facc85f..d8a0582 100644
--- a/MANIFEST.in
+++ b/MANIFEST.in
@@ -5,7 +5,6 @@ include *.rst
 include *.txt
 include buildout.cfg
 include tox.ini
-include appveyor.yml
 include .coveragerc
 
 recursive-include docs *.py
diff --git a/appveyor.yml b/appveyor.yml
deleted file mode 100644
index fa2c5ce..0000000
--- a/appveyor.yml
+++ /dev/null
@@ -1,49 +0,0 @@
-# Generated from:
-# https://github.com/zopefoundation/meta/tree/master/config/c-code
-environment:
-  # Currently the builds use @mgedmin's Appveyor account.  The PyPI token belongs
-  # to zope.wheelbuilder, which is managed by @mgedmin and @dataflake.
-  global:
-    TWINE_USERNAME: __token__
-    TWINE_PASSWORD:
-      secure: aoZC/+rvJKg8B5GMGIxd1a+XrG6uK7c37/wnoeA74KlRM9aqyayAnJxNyzyAAsCNzdLl7gz6wEC7lq/oYd3Rcb8mcK+K2U1mqbeG3SeIigCWLKtTnAK9EUiuaVGKVrKvywY7Ckp1uBh5To7PQn5ZS6QEe7YvJODljrGc8O2Z3TjofUzwE28L7P89BgZwCr+/3oOXsY3DHZXUGGYcIjkczLXoDsZ+X9/1WWbVdoTkgeXZmVQbl/a9nYilXILOh2NQtJLn0cInPZyPLfdGw88ZWw==
-
-  matrix:
-    - python: 37-x64
-    - python: 38-x64
-    - python: 39-x64
-    - python: 310-x64
-    - python: 311-x64
-    - python: 312-x64
-
-install:
-  - "SET PYTHONVERSION=%PYTHON%"
-  - "SET PATH=C:\\Python%PYTHON%;c:\\Python%PYTHON%\\scripts;%PATH%"
-  - ps: |
-      $env:PYTHON = "C:\\Python${env:PYTHON}"
-      if (-not (Test-Path $env:PYTHON)) {
-        curl -o install_python.ps1 https://raw.githubusercontent.com/matthew-brett/multibuild/11a389d78892cf90addac8f69433d5e22bfa422a/install_python.ps1
-        .\install_python.ps1
-      }
-  - ps: if (-not (Test-Path $env:PYTHON)) { throw "No $env:PYTHON" }
-  - echo "C:\Program Files\Microsoft SDKs\Windows\v7.1\Bin\SetEnv.cmd" /x64 > "C:\Program Files (x86)\Microsoft Visual Studio 10.0\VC\bin\amd64\vcvars64.bat"
-  - python -m pip install -U pip
-  - pip install -U setuptools wheel
-  - pip install -U -e .[test]
-
-matrix:
-  fast_finish: true
-
-build_script:
-  - python -W ignore setup.py -q bdist_wheel
-
-test_script:
-  - zope-testrunner --test-path=src
-artifacts:
-  - path: 'dist\*.whl'
-    name: wheel
-
-deploy_script:
-  - ps: if ($env:APPVEYOR_REPO_TAG -eq $TRUE) { pip install twine; twine upload --skip-existing dist\*.whl }
-
-deploy: on
diff --git a/tox.ini b/tox.ini
index 159c829..3237671 100644
--- a/tox.ini
+++ b/tox.ini
@@ -10,6 +10,7 @@ envlist =
     py310,py310-pure
     py311,py311-pure
     py312,py312-pure
+    py313,py313-pure
     pypy3
     docs
     coverage
@@ -18,7 +19,10 @@ envlist =
 
 [testenv]
 usedevelop = true
+pip_pre = py313: true
 deps =
+  setuptools < 69
+    Sphinx
 setenv =
     pure: PURE_PYTHON=1
     !pure-!pypy3: PURE_PYTHON=0