313422224313 has 64 divisors (see below), whose sum is σ = 480467220480. Its totient is φ = 179885376000.

The previous prime is 313422224309. The next prime is 313422224341.

It is a happy number.

313422224313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313422224313 - 2² = 313422224309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313422224513) 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 63 ways as a sum of consecutive naturals, for example, 31650663 + ... + 31660563.

It is an arithmetic number, because the mean of its divisors is an integer number (7507300320).

Almost surely, 2^313422224313 is an apocalyptic number.

313422224313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313422224313 is a deficient number, since it is larger than the sum of its proper divisors (167044996167).

313422224313 is a wasteful number, since it uses less digits than its factorization.

313422224313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10350.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 313422 and 224313, that added together give a palindrome (537735).

The spelling of 313422224313 in words is "three hundred thirteen billion, four hundred twenty-two million, two hundred twenty-four thousand, three hundred thirteen".