No, it was a joke on a website that Fox News failed to fact check properly before airing it as News.
He didn't pay (so won't need reimbursed)
The president and all members of congress were paid during the shutdown, but their staff members were not. The military was exempt, since the president had signed an act that made sure the troops would continue to get paid.
Bill Clinton.
The cast of Government Shutdown - 2011 includes: Kyle Bornheimer
Under a bill passed by congress and signed by the president, the military did receive their pay during the shutdown. And other federal employees are supposed to receive retroactive back-pay for the money they did not receive during the sixteen days the government was shut down.
2013
The government was shutdown
The government shutdown ended late in the evening of October 16, 2013, after both the senate and house passed compromise legislation to re-open the government.
The government shutdown lasted for 16 days, no matter what state you lived in. It ended late in the evening on October 16, 2013.
The Space Shuttle shutdown was never ended. It was just extended by one year.
During the shutdown, the military continued to receive their pay, under an act signed by the president. But at federally-run sites like Veterans' Hospitals, while the hospitals were open, staffing was reduced for out-patient services, and many veterans were not able to easily access what they needed until the shutdown finally ended.
The cast of My Weekend in DC During the Government Shutdown - 2013 includes: Meg Scanlon as herself
The federal US government underwent a partial shutdown during the 2013 budget crisis. This shutdown costs hundreds of millions of dollars, as well as billions of dollars in revenues.