According to the sources provided, there are no known interactions between Lipitor (atorvastatin) and potassium-based salt substitutes. However, it is important to note that Lipitor can interact with other medications and supplements. For example, it is not recommended to take Lipitor with grapefruit juice as it can increase the risk of side effects. Additionally, taking Lipitor with certain medications such as losartan can increase the risk of muscle damage. Therefore, it is important to consult with a healthcare provider before taking Lipitor with any other medications or supplements.

Sources:
[1] DrugPatentWatch. (n.d.). Lipitor. Retrieved from https://www.drugpatentwatch.com/p/tradename/LIPITOR
[2] US Pharmacist. (2010). Drug Interactions with Vitamins and Minerals. Retrieved from https://www.uspharmacist.com/article/drug-interactions-with-vitamins-and-minerals
[3] Drugs.com. (n.d.). Lipitor (atorvastatin) and losartan Drug Interactions. Retrieved from https://www.drugs.com/drug-interactions/lipitor-with-losartan-276-128-1489-0.html