31315444451313 has 32 divisors (see below), whose sum is σ = 46785973788672. Its totient is φ = 18464071953600.

The previous prime is 31315444451311. The next prime is 31315444451329.

31315444451313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31315444451313 - 2¹ = 31315444451311 is a prime.

It is a super-2 number, since 2×31315444451313² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31315444451311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9689520 + ... + 12510702.

It is an arithmetic number, because the mean of its divisors is an integer number (1462061680896).

Almost surely, 2^{31315444451313} is an apocalyptic number.

31315444451313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31315444451313 is a deficient number, since it is larger than the sum of its proper divisors (15470529337359).

31315444451313 is a wasteful number, since it uses less digits than its factorization.

31315444451313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830325.

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 3131544 and 4451313, that added together give a palindrome (7582857).

The spelling of 31315444451313 in words is "thirty-one trillion, three hundred fifteen billion, four hundred forty-four million, four hundred fifty-one thousand, three hundred thirteen".