31323211232313 has 256 divisors, whose sum is σ = 60135902281728. Its totient is φ = 13969169280000.

The previous prime is 31323211232311. The next prime is 31323211232347.

31323211232313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31323211232313 - 2¹ = 31323211232311 is a prime.

It is a super-2 number, since 2×31323211232313² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31323211232311) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4781436388 + ... + 4781442938.

It is an arithmetic number, because the mean of its divisors is an integer number (234905868288).

Almost surely, 2^{31323211232313} is an apocalyptic number.

31323211232313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31323211232313 is a deficient number, since it is larger than the sum of its proper divisors (28812691049415).

31323211232313 is a wasteful number, since it uses less digits than its factorization.

31323211232313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8516.

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

It can be divided in two parts, 3132321 and 1232313, that added together give a palindrome (4364634).

The spelling of 31323211232313 in words is "thirty-one trillion, three hundred twenty-three billion, two hundred eleven million, two hundred thirty-two thousand, three hundred thirteen".