Fame
Other than the usual level of fame that comes with this much fortune (like being profiled in Forbes' annual "How Rich Are These People?" list), your national name recognition is really up to you. Some oil barons choose to live a very private life, flying under the radar and donating to the causes and politicians they believe in without much fanfare.
Then there are those oil barons who believe their presence in the public eye can somehow make a difference for their brand. Whether it's T. Boone Pickens making charming commercials or David Koch running for President, it isn't hard for an oil tycoon to get cameras, microphones, and journalists to come running on short notice.