When one-third of the night had passed, the Messenger of Allah (may Allah's peace and blessings be upon him) would get up and call out: O people, remember Allah

It is mentioned in the beginning of the Hadīth that when the Prophet (may Allah's peace and blessings be upon him) got up after one third of the night had passed, he would say to his followers: "O people, mention Allah," to wake them up from the state of heedlessness, and to encourage them to do the things that will earn them Allah's pleasure and His complete mercy. He reminds them to mention Allah with their tongues and their hearts so that the fruits of Allah's remembrance would lead them to do more good deeds and shun bad deeds. The Hadīth also indicates that the person may have a supplication that he asks for himself, and he may make one third of his supplication for the Prophet by sending peace and blessings upon him. He may also dedicate half of his supplication to the Prophet or even all of it, by invoking Allah's peace and blessings upon him instead of supplicating for himself. It was stated in an authentic Hadīth reported by Abu Hurayrah (may Allah be pleased with him) that the Prophet (may Allah's peace and blessings be upon him) said: "Whoever sends Salāh upon me one time, then Allah will send Salāh upon him ten times." [Muslim 1/306, no. 408] The reward for his Salāh upon the Prophet is sufficient for him, and it is for this reason that he said: ''Then you will be relieved of your worries and your sins will be forgiven." In other words, when you supplicated for yourself, you asked for the removal of harm that causes worries and entails sin. If you send Salāh upon me instead of making this supplication for yourself, then you will be granted what you asked for. Another possible meaning of this Hadīth is dedicating part of his supplication to the Prophet, as if he meant that whenever he supplicated for himself, he invoked Allah's peace and blessings upon the Prophet, so both would go together in compliance with all texts.