Can I switch numbers on Verizon?

My mom just got a Samsung Galaxy s4 but she wants to switch with me ( I have an iPhone 4S) because it is easier to use for her. So I was wondering if I could change my number with hers. So my number will be on the galaxy and her number on my iPhone. Is it possible? Hope that makes sense.

Yes, the change is possible, and in your case, what is done to effect the change is known as an "ESN swap" meaning that phones are exchanged between lines of service on a single account.

If the service rep you are working with knows what they are doing, barring delays dealing with Verizon support, an ESN swap only takes about 10-15 minutes.

Back when I used to work as a cell phone sales rep for Wal-Mart (before they fired me for having to have a tumor removed at the local Veteran's Hospital), I must have done at least a hundred different ESN swaps for Verizon customers.