Washington (CNN) Republican presidential hopeful Rand Paul said Monday that contrary to what Donald Trump says, he's not going anywhere -- and in fact he might actually stay in the race longer than his opponent.

Speaking on CNN's "New Day" with Alisyn Camerota, the Kentucky senator responded to comments from Trump that Paul's campaign was sputtering out.

"I'll tell you this, I think we'll be around just as long as Trump, or longer," Paul said.

While out on the trail talking to reporters, the mogul picked Paul as one of the next candidates to drop out of the race, after two governors have left the race in recent weeks.

Paul called Trump a "clown" and said the attacks on his campaign were similar to the last presidential debate, when the mogul kicked off his first answer with a volley on Paul and a critique of his inclusion in the top-tier debate.

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