31113311331313 has 2 divisors, whose sum is σ = 31113311331314. Its totient is φ = 31113311331312.

The previous prime is 31113311331257. The next prime is 31113311331329. The reversal of 31113311331313 is 31313311331113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16500558919744 + 14612752411569 = 4062088^2 + 3822663^2 .

It is a cyclic number.

It is not a de Polignac number, because 31113311331313 - 2²⁵ = 31113277776881 is a prime.

It is not a weakly prime, because it can be changed into another prime (31113311331373) 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, 15556655665656 + 15556655665657.

It is an arithmetic number, because the mean of its divisors is an integer number (15556655665657).

Almost surely, 2^{31113311331313} is an apocalyptic number.

It is an amenable number.

31113311331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31113311331313 is an equidigital number, since it uses as much as digits as its factorization.

31113311331313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2187, while the sum is 28.

Adding to 31113311331313 its reverse (31313311331113), we get a palindrome (62426622662426).

The spelling of 31113311331313 in words is "thirty-one trillion, one hundred thirteen billion, three hundred eleven million, three hundred thirty-one thousand, three hundred thirteen".