My family has three of the iP5 phones and my lone GS4. My GS4 trumps the iP5 by a wide margin in the battery dept (and all other depts IMHO).
Edit: I should correct this post about battery life. My kids suck through battery life in no time. But they are heavy iP5 users. My wife's iP5 battery trails the GS4 battery, but not anything like the kids. Her usage is similar to mine, although probably a lighter user than me. So it still goes back to individual usage.