31013121101089 has 2 divisors, whose sum is σ = 31013121101090. Its totient is φ = 31013121101088.

The previous prime is 31013121101021. The next prime is 31013121101177. The reversal of 31013121101089 is 98010112131013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29203302464064 + 1809818637025 = 5404008^2 + 1345295^2 .

It is a cyclic number.

It is not a de Polignac number, because 31013121101089 - 2¹⁷ = 31013120970017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31013121101089.

It is not a weakly prime, because it can be changed into another prime (31013121101489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15506560550544 + 15506560550545.

It is an arithmetic number, because the mean of its divisors is an integer number (15506560550545).

Almost surely, 2^{31013121101089} is an apocalyptic number.

It is an amenable number.

31013121101089 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013121101089 is an equidigital number, since it uses as much as digits as its factorization.

31013121101089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 31013121101089 in words is "thirty-one trillion, thirteen billion, one hundred twenty-one million, one hundred one thousand, eighty-nine".