Hi 2363,
Welcome to Apple Support Communities. I understand that since updating to iOS 13.1.3 you're having trouble with phone calls disconnecting while connected to Bluetooth in your vehicle. I know it's important to rely on your Bluetooth connection when you're driving; I'd like to help. I'd recommend that you use the steps below to troubleshoot this behavior:
- Restart your device.
- Go to Settings > Bluetooth, and turn off Bluetooth. Wait for 5 seconds, then turn Bluetooth back on.
- Check your car stereo's user manual for how to pair with a Bluetooth device. Most cars require a phone setup on the car display.
- If you've connected multiple phones to your car stereo, try renaming your device: Go to Settings > General > About > Name, and type a new name. Then try connecting again.
- Update your device.
- Install any firmware updates for your car stereo."
If your iPhone, iPad, or iPod doesn't connect to or work in your car
Let me know what you find after trying these steps.
Best Regards.