Maybe this is a practical joke House was playing on Wilson but he got the wrong number.
Anyway - apparently the people that lived in this flat before me was shit at paying bills because we've had a lot of things like this. An automated caller thing would phone up and say "if you are MR SMITH please press 1, if not press 2". When you pressed 2 it disconnected you so in the end I just pressed 1 and told them to take me the fuck off their call list - which worked. Though it doesn't sound like you have this option.
Maybe phone your phone company and tell them your problem and they'll be able to sort it out in some fashion.