That person is paying corporate income tax and taxes on dividends.
If you own an asset that is constantly paying taxes, you have lost that value to taxation. A stock shareholder owns a portion of the company. A stockholder loses value exactly equal to the amount of taxes the corporation paid.
This is why economists have the maxim: "companies don't pay taxes; people pay taxes." This doesn't mean companies don't pay tax; it means every dollar a company pays in tax is a dollar taken from some set of people.
Without corporate taxation, the shareholders would own a company which owns more cash. Academic literature has shown a dollar in cash at a company is worth a dollar in market cap, which is priced into stock values.
Now, depending on how dividends work, the billionaire likely also paid taxes on those, either at cap gains rates (remember, that income was also already taxed at the corporate level) or at personal income levels, depending on whether the dividends are classified as qualified dividends or non-qualified dividends.
Then, when the billionaire dies, the rest gets taxed if he/she passes it own. This rate for a billionaire is currently around 40%, and many states have an inheritance tax on top of that.
So the billionaire does and will pay significant amount of taxes over their lifetime.