The i7-11700K is a powerful processor, and it's capable of running very hotly if it's pushed to its limits. However, a number of steps can also be taken to help keep the processor cool, such as using a high-quality cooling system and making sure that the BIOS is up to date. As a result, it's difficult to say definitively whether or not the i7-11700K runs hot. However, it's worth taking steps to keep the processor cool if you plan to push it to its limits.