31321111112313 has 192 divisors, whose sum is σ = 50258978192640. Its totient is φ = 17274850560000.

The previous prime is 31321111112281. The next prime is 31321111112329.

31321111112313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31321111112313 - 2⁵ = 31321111112281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31321111112513) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10232311803 + ... + 10232314863.

It is an arithmetic number, because the mean of its divisors is an integer number (261765511420).

Almost surely, 2^{31321111112313} is an apocalyptic number.

31321111112313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31321111112313 is a deficient number, since it is larger than the sum of its proper divisors (18937867080327).

31321111112313 is a wasteful number, since it uses less digits than its factorization.

31321111112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3629 counting only the distinct ones).

The product of its digits is 324, while the sum is 24.

It can be divided in two parts, 3132111 and 1112313, that added together give a palindrome (4244424).

The spelling of 31321111112313 in words is "thirty-one trillion, three hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, three hundred thirteen".