Hi daddyqbob50,
We appreciate you reaching out to us. We understand that you are experiencing issues with the notifications of your new iPhone 13 Pro Max.
We’d like to gather additional details that may help us be in a better position to assist you.
Are you experiencing the issue when using a Wi-Fi network, cellular data, or both?
Also, are you using a VPN on your device, on your router, or access point?
Is the device set to the correct Time Zone? Also, is the Date & Time set automatically? You can confirm these details under Settings > General > Date & Time.
Does it help if you delete an affected app, then reinstall it?
Does it seem like the issue happens on a certain time window?
Do you have a Focus feature enabled?
In the meantime, we recommend that you update your device to iOS 15.1 if you haven't.
While it isn't inherently assured that an update will resolve the issue, updating to the latest version of iOS for your device can help isolate potential software issues.
Kindly secure a backup and update.
How to back up your iPhone, iPad, and iPod touch
Update your iPhone, iPad, or iPod touch
Also, we recommend that you check for app updates. You can use the article below as a reference.
Update apps or use automatic downloads
Take care!