31312120914089 has 2 divisors, whose sum is σ = 31312120914090. Its totient is φ = 31312120914088.

The previous prime is 31312120914079. The next prime is 31312120914101. The reversal of 31312120914089 is 98041902121313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31254584736400 + 57536177689 = 5590580^2 + 239867^2 .

It is a cyclic number.

It is not a de Polignac number, because 31312120914089 - 2²⁸ = 31311852478633 is a prime.

It is a super-3 number, since 3×31312120914089³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (31312120914079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656060457044 + 15656060457045.

It is an arithmetic number, because the mean of its divisors is an integer number (15656060457045).

Almost surely, 2^{31312120914089} is an apocalyptic number.

It is an amenable number.

31312120914089 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312120914089 is an equidigital number, since it uses as much as digits as its factorization.

31312120914089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 44.

The spelling of 31312120914089 in words is "thirty-one trillion, three hundred twelve billion, one hundred twenty million, nine hundred fourteen thousand, eighty-nine".