Conflicting Wi-Fi Router Channels

As many of you know you can change your routers channel that it broadcasts on. However in my neighbourhood they don't as the same channel is being broadcasted. Furthermore the SSID name suggests they use the same ISP as me.

My question is does it affect my internet connection all?

I was thinking of renaming my wireless to something along the lines of "neighbours update your router settings, wireless channel"

Okay doubt that would fit

What do you think?

I wouldn't worry about your neighbors. If your channel is the same as there's change it. The save channels are 1,6, and 11.

If you have the same said that can be a problem. If it looks the same and it confuses you then change it so you know what one is yours.

On a 2.4 Ghz band I have an option of choosing anything from 1-13.

Does higher than channel i.e. 13 mean stronger signal & speed or is there no correlation between the channel number and signal/speed?

Nope. Just a different channel so the radio waves don't collide.

Look at the over lap chart posted. You should choose something that does not over lap with a channel being used.