31313222231313 has 128 divisors (see below), whose sum is σ = 49119529697280. Its totient is φ = 17565735168000.

The previous prime is 31313222231281. The next prime is 31313222231321.

31313222231313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31313222231313 - 2⁵ = 31313222231281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31313222231353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 637602403 + ... + 637651511.

It is an arithmetic number, because the mean of its divisors is an integer number (383746325760).

Almost surely, 2^{31313222231313} is an apocalyptic number.

31313222231313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31313222231313 is a deficient number, since it is larger than the sum of its proper divisors (17806307465967).

31313222231313 is a wasteful number, since it uses less digits than its factorization.

31313222231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49519.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 3131322 and 2231313, that added together give a palindrome (5362635).

The spelling of 31313222231313 in words is "thirty-one trillion, three hundred thirteen billion, two hundred twenty-two million, two hundred thirty-one thousand, three hundred thirteen".