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Comparing the New York Times homepage on the iPhone 13 Pro Max with the iPhone 12 Pro Max side-by-side, I found that it was easier to read the text on Apple’s newer phone than on the iPhone 12 Pro Max. This is because I was scrolling faster on each display. It's just more responsive.
The availability of LTE and 5G data can vary in different countries and regions. It is dependent on the carrier's support for certain LTE and 5G radio frequencies. Get more information from your wireless carrier about international roaming policies.
If you are changing from Android, download the Move into iOS app first. Follow the setup process for your new iPhone.