. The version number is usually listed at the bottom or under "App info." Troubleshoot Issues
Occasional "battery drain" bugs were reported by users on specific hardware configurations. API Support: google play service apk 13.2.78
This specific version was designed to support various hardware architectures and Android versions: Learn about Google Play services - Android Help files signed by Google).
For version 13.2.78, common variants you’ll encounter include: google play service apk 13.2.78
Developers saw new data types for heart rate and activity sampling, paving the way for more sophisticated fitness tracking without constant hardware polling.
The best source for old, unmodified Google APKs is (run by Android Police, files signed by Google).