Average Camera Pro
Smartphone cameras, even the iPhone 5s's camera, aren't as good at low-light photography like some dedicated cameras are, but you can certainly get pretty close to it. Average Camera Pro allows you to take long-exposure shots with your iPhone to get a clear picture at night.
However, the app takes a different approach to capturing a long-exposure photo. Since the iPhone's camera can't physically keep its shutter open for longer periods of time, Average Camera Pro takes multiple pictures, calculates the average picture out of the ones taken and normalizes the result, making the lightest pixel become white.
It's certainly not the quickest way to take a long-exposure photo, but it's a great way to do it on the iPhone.
Average Camera Pro costs $0.99 in the iTunes App Store and is a nifty little app to have on your iPhone for those moments when you want to capture a scene at night.
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