No, the government is not going to give you 1 trillion gold just because you have 1 trillion paper.

They are not giving 1 trillion gold to anyone. Period. Even if this fantastically wacky bullshit actually happened, and even if somehow the doctrine said that all dollars are equal between all countries (which is already ridiculous), the rich people who run the banks would take one look at your 1T Zimbabwe note, then laugh at you and escort you out of the bank.

You can't game the Fed into giving you 1 trillion gold, (gold what? Ounces?). You know why? Even if you won, they would just change the rules to make you lose. They are not beholden to the rules. They are, after all, the people who make the rules. Those rules exist to control you, not them. If they saw they accidentally made a rule that turned Zimbabwe into millionaires, they would just unmake that rule. Or ignore it.