...immediately I did not confer with flesh and blood [did not consult or counsel with any frail human being or communicate with anyone]. Nor did I [even] go up to Jerusalem to those who were apostles (special messengers of Christ) before I was, but I went away and retired into Arabia, and afterward I came back again to Damascus.(Galatians 1:16-17 AMP)
After he found Jesus or Jesus found Him rather, Paul went to Arabia to be alone. He had been a Pharisee and had studied the Old Testament thoroughly and completely. He now believed the Messiah had come so he wanted to find the prophecies and know Jesus inside out from the Old Testament point of view. And he also wanted just to be alone with his Savior.
It doesn't say he fasted and prayed but that is a possibility. There's a nearness that develops between the one saved and his Savior that is sweet and never leaves his heart after fasting. Paul later in life wrote that his only purpose was to know Him.
Jesus is so gracious and healing to our soul similar to how He was on earth. So as Paul's life was winding down what he wanted wasn't priorities in order...Jesus first, others second, yourself third. He wanted to know his Savior first, second, third and only. He would do anything including being bound in prison to even know a portion of the sufferings of Jesus.
When you sit with Him day after day, when you bring your hurts to Him and He sweetens them by His touch, when you share meals with Him or lack of them, and when He speaks that sweet healing to your soul...there's no one else in the world but you and him. And also the call to give His love to those who ask for the hope within you.