What does it mean when a guy says he's caught feelings for you?

Anonymous
I know this seems self-explanatory but will a guy say this without meaning it or is it something to take seriously? The guy I'm talking to has said this to me on multiple occasions, one of them being on a phone call that lasted until 5 in the morning. Can I trust that he is being genuine?
What does it mean when a guy says he's caught feelings for you?
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