313626626313 has 64 divisors (see below), whose sum is σ = 563252938752. Its totient is φ = 149909460480.

The previous prime is 313626626311. The next prime is 313626626323.

It is a happy number.

313626626313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313626626313 - 2¹ = 313626626311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313626626311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 773106 + ... + 1106772.

It is an arithmetic number, because the mean of its divisors is an integer number (8800827168).

Almost surely, 2^313626626313 is an apocalyptic number.

313626626313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313626626313 is a deficient number, since it is larger than the sum of its proper divisors (249626312439).

313626626313 is a wasteful number, since it uses less digits than its factorization.

313626626313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334014.

The product of its digits is 419904, while the sum is 42.

It can be divided in two parts, 313626 and 626313, that added together give a palindrome (939939).

The spelling of 313626626313 in words is "three hundred thirteen billion, six hundred twenty-six million, six hundred twenty-six thousand, three hundred thirteen".