31314466441313 has 16 divisors (see below), whose sum is σ = 34883811614976. Its totient is φ = 27870763908240.

The previous prime is 31314466441303. The next prime is 31314466441361.

It is a happy number.

31314466441313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31314466441313 - 2⁴⁴ = 13722280396897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31314466441303) 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 15 ways as a sum of consecutive naturals, for example, 130214531 + ... + 130454792.

It is an arithmetic number, because the mean of its divisors is an integer number (2180238225936).

Almost surely, 2^{31314466441313} is an apocalyptic number.

It is an amenable number.

31314466441313 is a deficient number, since it is larger than the sum of its proper divisors (3569345173663).

31314466441313 is a wasteful number, since it uses less digits than its factorization.

31314466441313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260669564.

The product of its digits is 746496, while the sum is 44.

It can be divided in two parts, 3131446 and 6441313, that added together give a palindrome (9572759).

The spelling of 31314466441313 in words is "thirty-one trillion, three hundred fourteen billion, four hundred sixty-six million, four hundred forty-one thousand, three hundred thirteen".