31013033131013 has 2 divisors, whose sum is σ = 31013033131014. Its totient is φ = 31013033131012.

The previous prime is 31013033130953. The next prime is 31013033131033. The reversal of 31013033131013 is 31013133031013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30439859976289 + 573173154724 = 5517233^2 + 757082^2 .

It is a cyclic number.

It is not a de Polignac number, because 31013033131013 - 2¹⁰ = 31013033129989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31013033131013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31013033131033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15506516565506 + 15506516565507.

It is an arithmetic number, because the mean of its divisors is an integer number (15506516565507).

Almost surely, 2^{31013033131013} is an apocalyptic number.

It is an amenable number.

31013033131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31013033131013 is an equidigital number, since it uses as much as digits as its factorization.

31013033131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 31013033131013 its reverse (31013133031013), we get a palindrome (62026166162026).

The spelling of 31013033131013 in words is "thirty-one trillion, thirteen billion, thirty-three million, one hundred thirty-one thousand, thirteen".