What was the informational content of the universe at the Planck time?

If the energy of $1 , mathrm{bit}$ of information is $k_{small{text{B}}}T ln{2}$, then the energy of that bit increases with the temperature of the system. When I try to calculate how much energy 1 bit of information would have had around the Planck time, when the temperature of the universe was in the ballpark of ${10}^{32},mathrm{K}$ and the diameter was around ${10}^{-33},mathrm{cm}$, then the energy of that $1,mathrm{bit}$ of information is suspiciously close to the Bekenstein bound. In fact, the result I got was $1.3719436998375747 ,$ which I think means that the energy of $1,mathrm{bit}$ of information at planck time was just a bit less than would have been required to collapse the universe into a black hole before it had even begun (perhaps even before inflation could save it from said fate).

Is it just coincidence that the number I happen to get is so close to the Bekenstein bound? Was the Information (or entropy or negentropy or whatever you want to call it) contained in the big bang really THAT low? I mean, I knew it had to be low, but 1 bit seems to be cutting things a bit fine, doesn’t it?