What is the ruling on watching and listening to sins on a mobile phone, then stopping to remember Allah and send blessings upon the Prophet upon receiving an alert to do so, and then returning to watching sins? And does sin result from that?

Allah loves those who repent and rejoices in their repentance. The Prophet, peace and blessings be upon him, clarified the greatness of Allah's joy at the repentance of His servant. Sins have harms and punishments in this world and the hereafter, including a lack of divine guidance, corrupted judgment, the sinner's alienation from his Lord, deprivation of knowledge, and a constricted heart. Desisting from forbidden acts for the sake of remembering Allah is a righteous deed.