31314422441313 has 24 divisors (see below), whose sum is σ = 52246523006496. Its totient is φ = 17862059145600.

The previous prime is 31314422441293. The next prime is 31314422441317.

31314422441313 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 4 + 4 + 224 + 413 + 13 = 666.

31314422441313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31314422441313 - 2²⁵ = 31314388886881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31314422441317) 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 23 ways as a sum of consecutive naturals, for example, 9303154123 + ... + 9303157488.

It is an arithmetic number, because the mean of its divisors is an integer number (2176938458604).

Almost surely, 2^{31314422441313} is an apocalyptic number.

31314422441313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31314422441313 is a deficient number, since it is larger than the sum of its proper divisors (20932100565183).

31314422441313 is a wasteful number, since it uses less digits than its factorization.

31314422441313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18606311645 (or 18606311642 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 3131442 and 2441313, that added together give a palindrome (5572755).

The spelling of 31314422441313 in words is "thirty-one trillion, three hundred fourteen billion, four hundred twenty-two million, four hundred forty-one thousand, three hundred thirteen".