31112331103313 has 16 divisors (see below), whose sum is σ = 31326786605520. Its totient is φ = 30898292806656.

The previous prime is 31112331103307. The next prime is 31112331103361. The reversal of 31112331103313 is 31330113321113.

It can be written as a sum of positive squares in 8 ways, for example, as 3327329865409 + 27785001237904 = 1824097^2 + 5271148^2 .

It is a cyclic number.

It is not a de Polignac number, because 31112331103313 - 2¹⁰ = 31112331102289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31112331100313) 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 in 15 ways as a sum of consecutive naturals, for example, 593075381 + ... + 593127837.

It is an arithmetic number, because the mean of its divisors is an integer number (1957924162845).

Almost surely, 2^{31112331103313} is an apocalyptic number.

It is an amenable number.

31112331103313 is a deficient number, since it is larger than the sum of its proper divisors (214455502207).

31112331103313 is a wasteful number, since it uses less digits than its factorization.

31112331103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56356.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 31112331103313 its reverse (31330113321113), we get a palindrome (62442444424426).

The spelling of 31112331103313 in words is "thirty-one trillion, one hundred twelve billion, three hundred thirty-one million, one hundred three thousand, three hundred thirteen".