If you're here looking up Southwest Airlines customer care, you probably already know who they are. But it helps to get an idea of how big they are and what their support operation looks like if you are a customer. Southwest Airlines also goes by or is associated with the names Southwest, Southwest Airways, Southwest Air, Southwest Airlines Co., Southwest Airlines. They are considered to be part of the following sectors and industries: Airlines, Travel. Southwest Airlines is associated with terms like public, b2c by their customers and industry analysts. Their competition, in the eyes of customers, are companies like JetBlue, AirTran, Spirit Airlines. They employ 55,347 people according to customers in the know.