Is it possible to transfer all of my data to my new iphone?

I have an old iphone 4, and lately the screen has been giving me problems. I'm elgible for an upgrade so i was thinking to get an iphone 5s. I backed up my old iphone to my computer, would i be able to transfer all of the data from my computer to my new phone? And will i be able to keep the same number?

First of all, keeping your same number is up to you. It is called porting. If you are keeping the same carrier, especially, it should not change. I Googled an article on how to do it. Basically iCloud is the answer. Here is the link:

http://gigaom.com/2013/09/20/how-to-transfer-the-content-of-your-old-iphone-to-the-iphone-5s-or-iphone-5c/

Yea but you can change the number