What does Romans 1:13 mean?
Paul has been describing his passionate desire to come to Rome to spend time with the Christians there in person. In fact, he has been praying "without ceasing" that it would be God's will to allow him to come to them (Romans 1:8–10).Now he keeps going, apparently meaning to make sure his readers believe how serious he is about this. He is not being polite by saying, "Oh, we should get together sometime." His intent to come and visit them has been prevented up to this point. Paul understands these preventions to be God exercising His will to keep Paul from going to Rome until the time is right.
Paul adds to his list of reasons for wanting to come to them: he wants to reap a harvest among them and the rest of the Gentiles. This is a metaphor that Paul often uses to describe leading people to Christ. He wants to come to Rome to see more people put their faith in Christ to be forgiven for their sins and welcomed into the family of God.
After all, as Paul will write in the following verses, this is the very purpose of his life.