Lipitor is a brand name for the generic drug atorvastatin, which is a type of medication called a statin that is used to lower cholesterol levels in the blood [1]. Statins work by blocking the action of an enzyme in the liver that produces cholesterol. While the interaction between Lipitor and oranges has not been studied specifically, there are some concerns about the interaction between statins and citrus fruits such as grapefruit and lime.

Grapefruit contains a group of chemicals called furanocoumarins that can interfere with the metabolism of some statins, including Lipitor, leading to higher levels of the drug in the blood. This can increase the risk of side effects such as muscle pain and liver damage [2]. It is recommended that people taking Lipitor avoid consuming grapefruit or grapefruit juice.

While limes and lime juice do not contain furanocoumarins, they may still interact with statins. Limes contain compounds called flavonoids that can also affect the metabolism of some drugs, including statins. However, the evidence for this interaction is not as strong as it is for grapefruit, and the risk of adverse effects is considered to be low [3]. Nevertheless, it is recommended that people taking Lipitor should talk to their doctor before consuming large amounts of limes or lime juice.

In summary, while there is no evidence to suggest a direct interaction between Lipitor and oranges, people taking Lipitor should avoid consuming grapefruit or grapefruit juice due to the risk of drug interactions. While the risk of interactions with limes is considered to be low, it is still advisable to consult with a doctor before consuming large amounts of limes or lime juice [1-3].

Sources:
[1] https://www.drugpatentwatch.com/p/tradename/LIPITOR
[2] https://www.healthline.com/health/high-cholesterol/grapefruit-and-statins
[3] https://www.drugs.com/medical-answers/you-limes-lime-juice-taking-statin-drugs-3211550/