Will social security be affected if a deal is not reach on the debt ceiling?

I am kind of worried for my grandma. She lives alone in a low rent elder care facility and relies on social security ever since my grandpa passed away. I also have a disabled friend who relies on social security. I keep hearing on the news that if a deal isn't reached, payments may stop. I am kind of worried for them now since they and millions of others depend on the small assistance they get. But, I can't seem to find a definitive answer that I could reassure them that they need not worry or that their worries are justified.