312133133089 has 2 divisors, whose sum is σ = 312133133090. Its totient is φ = 312133133088.

The previous prime is 312133133003. The next prime is 312133133159. The reversal of 312133133089 is 980331331213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231529380625 + 80603752464 = 481175^2 + 283908^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312133133089 is a prime.

It is not a weakly prime, because it can be changed into another prime (312133133489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066566544 + 156066566545.

It is an arithmetic number, because the mean of its divisors is an integer number (156066566545).

Almost surely, 2^312133133089 is an apocalyptic number.

It is an amenable number.

312133133089 is a deficient number, since it is larger than the sum of its proper divisors (1).

312133133089 is an equidigital number, since it uses as much as digits as its factorization.

312133133089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 312133133089 in words is "three hundred twelve billion, one hundred thirty-three million, one hundred thirty-three thousand, eighty-nine".