312312010233089 has 2 divisors, whose sum is σ = 312312010233090. Its totient is φ = 312312010233088.

The previous prime is 312312010233049. The next prime is 312312010233107. The reversal of 312312010233089 is 980332010213213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 296211051473089 + 16100958760000 = 17210783^2 + 4012600^2 .

It is a cyclic number.

It is not a de Polignac number, because 312312010233089 - 2²⁴ = 312311993455873 is a prime.

It is a super-2 number, since 2×312312010233089² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312312010233049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156156005116544 + 156156005116545.

It is an arithmetic number, because the mean of its divisors is an integer number (156156005116545).

Almost surely, 2^{312312010233089} is an apocalyptic number.

It is an amenable number.

312312010233089 is a deficient number, since it is larger than the sum of its proper divisors (1).

312312010233089 is an equidigital number, since it uses as much as digits as its factorization.

312312010233089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 312312010233089 in words is "three hundred twelve trillion, three hundred twelve billion, ten million, two hundred thirty-three thousand, eighty-nine".