Star notes usually do carry a premium over standard printed notes. They replace notes that were damaged during the printing process. The Treasury keeps track of all serial numbers so they can't skip numbers and replace the damaged note with the same serial number designated at the end with a "*". Premiums above and beyond the face value vary, based upon denomination and amount of notes printed in a particular batch pertaining to the "Bank (Federal Reserve Bank)" printed for. So for example $1 notes are printed in vast quantities so there values are based upon how many notes were replaced. Higher denominations such as $100's are not printed in the quantities of lower denomination notes so there are in fact fewer so called "*" or replacement notes.
All in all find the Series (Date Code) for the bill. Compare it with the Federal Reserve Bank printed for and find out in a currency book or online how many replacement notes were printed for your note. The fewer replacement notes printed for that series the more valuable the bill will be.
The one you stated you have is as follows. Furthermore it appears that particular note was in a run that was quite large. I will say though that your note is a low serial number. I can't say what the value may be. Hopefully someone else can chime in.
New York Federal Reserve Bank
Circulation production, star notes:
Begin serial End serial Type Length Run
HA 000 00001 * - HA 032 00000 * dc n 3,200,000 1
