Iphone 5s battery

We don't have part numbers for Apple replacement parts. You don't really need to know. All you need to do is have Apple do the battery replacement as they'll use the right battery for your phone.

Here are the iPhone 5s Specifications directly from Apple. The Battery size is not listed. And that's because Apple doesn't need you to know if you're using Apple to replace anything in your phone: iPhone 5s - Technical Specifications

3200mah would obviously be the best, although the price would be higher.

Let Apple replace your battery for $79 and they will put the right battery in your phone.