31110113012089 has 2 divisors, whose sum is σ = 31110113012090. Its totient is φ = 31110113012088.

The previous prime is 31110113012047. The next prime is 31110113012131. The reversal of 31110113012089 is 98021031101113.

It is a balanced prime because it is at equal distance from previous prime (31110113012047) and next prime (31110113012131).

It can be written as a sum of positive squares in only one way, i.e., 31108952451600 + 1160560489 = 5577540^2 + 34067^2 .

It is an emirp because it is prime and its reverse (98021031101113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31110113012089 - 2¹⁷ = 31110112881017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31110113012089.

It is not a weakly prime, because it can be changed into another prime (31110113012989) 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, 15555056506044 + 15555056506045.

It is an arithmetic number, because the mean of its divisors is an integer number (15555056506045).

Almost surely, 2^{31110113012089} is an apocalyptic number.

It is an amenable number.

31110113012089 is a deficient number, since it is larger than the sum of its proper divisors (1).

31110113012089 is an equidigital number, since it uses as much as digits as its factorization.

31110113012089 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 31110113012089 in words is "thirty-one trillion, one hundred ten billion, one hundred thirteen million, twelve thousand, eighty-nine".