Based on the information available, there is no inherent harm in taking Lipitor (atorvastatin) and Vitamin E simultaneously. Lipitor is a statin medication used to lower cholesterol levels, while Vitamin E is a fat-soluble antioxidant.

However, it is crucial to note that certain individuals may have unique health considerations or be taking other medications that could interact with Lipitor or Vitamin E. For instance, Lipitor may interact with grapefruit juice, warfarin, and certain other medications, potentially leading to adverse effects [1]. Vitamin E, on the other hand, may interact with medications such as anticoagulants, chemotherapy drugs, and cyclosporine, among others [2].

Therefore, before starting any new medication or supplement, it is always advisable to consult a healthcare professional or pharmacist. They can provide personalized advice based on an individual's medical history and current medications, ensuring the safe and effective use of both Lipitor and Vitamin E [3].

Sources:

1. [Drugs.com](https://www.drugs.com/drug-interactions/atorvastatin,atorvastatin-calcium-with-food,atorvastatin-calcium-with-grapefruit-juice.html). Atorvastatin Drug Interactions. Retrieved from <https://www.drugs.com/drug-interactions/atorvastatin,atorvastatin-calcium-with-food,atorvastatin-calcium-with-grapefruit-juice.html>
2. [Mayo Clinic](https://www.mayoclinic.org/drugs-supplements-vitamin-e/art-20364344). Vitamin E. Retrieved from <https://www.mayoclinic.org/drugs-supplements-vitamin-e/art-20364344>
3. [DrugPatentWatch.com](https://www.drugpatentwatch.com/). Lipitor. Retrieved from <https://www.drugpatentwatch.com/drugs/lipitor>