You need to completely remove all your data and account information from your iPhone 13 before giving it away or selling it. For iPhone 13, iPhone 13 Mini, iPhone 13 Pro, and iPhone 13 Pro Max, this is referred to as a “factory reset,” which can easily be performed in Settings.

The steps are the steps for How to factory reset iphone 13:
Before You Reset: Make a Backup
Before performing any factory reset on your iPhone 13, you should always make a backup. On a Mac or Windows computer, you can use Finder, iTunes, or iCloud if you have an iCloud account. Directly transferring data from your iPhone 13 to your new device is also possible via QuickStart.
Be Sure to Disable “Find My iPhone,” Too.
The owner of your iPhone 13 will also need to disable “Find My iPhone,” which tracks the device’s location if it is stolen or lost. You can do this by opening the Settings app and tapping your account name. You can disable Find My iPhone in Apple ID by flipping the switch next to the name “Find My iPhone.”
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How to Erase All Content and Reset Your iPhone 13
First, open the Settings app on your iPhone 13 to perform a factory reset.
Select “General” under Settings.
Select “Transfer or Reset iPhone” at the bottom of General.
Tap “Erase All Content and Settings” when transferring or resetting settings.
Warning:
Before attempting this, make sure you have a backup of your iPhone 13. All your data will be permanently deleted from your phone, including photos, videos, emails, messages, apps, and more!
Next, tap “Continue.” If necessary, enter your Apple ID password or your device’s passcode. Once you enter the passcode, the reset will begin, and System will erase your device. In the end, you’ll be able to set up your device from scratch with the welcome screen that will allow you (or the next owner) to do so. You should have a good experience!