what is your motherboard? maybe your motherboard only allows 1064 memory clock? if it supports up to 1333 maybe you need to overclock the memory, but since you said there is no way to change in bios i supose it does not support higher clocks? what is the mobo?
You're using DDR3 on a 775 socket, for which DDR3 speeds were originally limited to 1066Mhz. I would suggest trying to manually change the speeds in the BIOS. But remember to adjust timings too, if you need to.
At first I thought you were running DDR2 and thought, "Of course that's not gonna get up to 1333Mhz!" But I digress.
edit: You may also have to update your motherboard's firmware