privacy

If you want to not have to worry about this sort of thing:

1. encrypt your phone
2. take a complete backup of your phone
3. store it somewhere you can access it remotely
4. wipe your phone
5. profit.

You can travel then, unimpeded, when they want to crawl up your ass hand it over, a full wiped unencrypted brand new phone. Because the previous disk was encrypted, you don't have to worry about forensic analysis. Then, when you get where you're going, download and restore the backup. You can do this with a laptop too.

Make sure you'll be able to decrypt the backup, some recoveries don't do this, some do. Know your hardware and your software.

Bear in mind, other countries might not have any rules preventing them from looking around inside your butthole while you're there. So to avoid having a car battery attached to your nuts in Cambodia, just don't carry a phone with things on it that you don't want them to know about. But if you're in a country where you can't be forced to divulge an encryption passphrase, this method gets you across a border with no worries.