I'll be travelling to Mongolia, and I've heard there's a non-trivial chance of theft. I'll be taking two Apple iPhones with me, and I'm not too concerned about the theft of the devices themselves, as that's a bounded cost.
Do I need to take precautions against identity theft, and if so, what personally identifiable information should I delete from my smartphone and email before travelling?
The only personally identifiable information on my email and smartphone relate to me as an Australian - I have worked for a year in the US, but that was prior to me setting up the only email account set up on my phones, and buying my iPhones.
Related questions: Photocopies of important documents stolen (more about what to do after theft has occurred, not beforehand), and What harm can be done with a copy of one's passport? (specific to passports). Wikivoyage has a section on identity theft, but it's more or less only about passports.