This story was updated at 4:43 p.m. ET. Web-hosting giant GoDaddy said Monday its customers are experiencing website outages, and a supposed member of the hacking group Anonymous has taken "credit" for the problem.

"Hey all, We're aware of the trouble people are having with our site. We're working on it," said GoDaddy on its Twitter page. The company hosts hundreds of thousands of websites, many of them smaller businesses that rely on GoDaddy.

Some GoDaddy customers say their websites are fine.

"We don't know how widespread the outage is, but we are working very hard to resolve it," Elizabeth Driscoll, a GoDaddy spokeswoman, told NBC News. She said the outage began after 10 a.m. PT Monday. She said customers can find updates from GoDaddy on Twitter, with the company's own website down.