331122012130057 has 2 divisors, whose sum is σ = 331122012130058. Its totient is φ = 331122012130056.

The previous prime is 331122012129973. The next prime is 331122012130069. The reversal of 331122012130057 is 750031210221133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313654761510601 + 17467250619456 = 17710301^2 + 4179384^2 .

It is a cyclic number.

It is not a de Polignac number, because 331122012130057 - 2⁷ = 331122012129929 is a prime.

It is not a weakly prime, because it can be changed into another prime (331122012100057) 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, 165561006065028 + 165561006065029.

It is an arithmetic number, because the mean of its divisors is an integer number (165561006065029).

Almost surely, 2^{331122012130057} is an apocalyptic number.

It is an amenable number.

331122012130057 is a deficient number, since it is larger than the sum of its proper divisors (1).

331122012130057 is an equidigital number, since it uses as much as digits as its factorization.

331122012130057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 331122012130057 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, twelve million, one hundred thirty thousand, fifty-seven".