I learned c# recently, so when I learned to write properties, I was taught to do it like this:
public string Name { get; set; }
Auto properties
Properties don't need backing variables (fields) at all. While they can be used for encapsulating simple fields you can also use them to access other data.
public Decimal GrandTotal { get { return FreightTotal + TaxTotal + LineTotal; } }
or
public string SomeStatus { get { return SomeMethodCall(); } }
If the goal is to simply encapsulate some field with a property you would need some sort of backing field if you are not using automatic properties.