If your actual hosting isn't with GoDaddy then the problem wouldn't probably be with them, it would be with whomever has your nameservers registered. All they do is register the domain name, and if you don't have it hosted there, it's probably nothing to do with them.
Not sure how savvy you are about that stuff, so I don't want to sound like I'm talking down to you if you already know. :x
I agree with Leah - all but one of my domains are registered with Godaddy (the one being registered with Dreamhost), and I've never had a problem with things not working on their(unless I forgot to pay them and the domain expired XD), it's always something on DH's end if mine aren't working. But yeah, it sounds like a host thing rather than a registrar thing.
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I don't know where you actually host the domain, though. Generally if it's down it's a nameserver issue.
Also, it's working for me right now. Is it still down for you? If so, definitely sounds like a propagation issue.
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Not anymore. It was down for about 10 minutes earlier.
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Not sure how savvy you are about that stuff, so I don't want to sound like I'm talking down to you if you already know. :x
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Have heard Things about Surpass recently, though.