Is it true when the government is shutdown, Congress still gets paid?

Even if their pay was withheld, it would mostly be symbolic. The majority of the members of Congress are millionaires. They would get along just fine.

http://time.com/373/congress-is-now-mostly-a-millionaires-club/

Yes. Congress gets paid via a different source of funds than us.

They were paid during the 2013 shutdown.

One response to the Problem you are talking about.

Yes. It's actually a safeguard. As the Executive Branch "handles" all pay in the government (Dept of Treasury), it cannot withhold pay of the other two branches (Legislative or Judicial).

Personally, I would like to see Congress impose a stiff fine on every member for each day past 1 October without a budget. I know this will never happen, but I would love to see them have some skin in the game.

It is true. I am a FED and the last shutdown in 2013, Congressmen were whining about having to bring in their own towels and take them home to launder them because workers that staff the Congressional gym were furloughed. It is literally against the law for a federal worker who is furloughed to work, respond to emails, or phone calls while the shutdown is in place. But Congress still gets paid. Yes I eventually got paid, but a number of Contractors still had to work for no pay during the shutdown. I don't think that's right. Living in DC is expensive as it is, your mortgage company or landlord don't care about the shutdown. They just want their money.

Back in the day, there was no "standing Army" so Army pay is covered under "discretionary" funding - when the government "shuts down" it is really only the discretionary funds that get turned off.

The govt, #FEDERAL and everything else. When money get low, your command will slow training, then maintenance PER your POST Commander.