313424222424313 has 216 divisors, whose sum is σ = 439300955495808. Its totient is φ = 222672209760000.

The previous prime is 313424222424293. The next prime is 313424222424353.

313424222424313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313424222424313 - 2¹⁷ = 313424222293241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313424222424353) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 44832527248 + ... + 44832534238.

It is an arithmetic number, because the mean of its divisors is an integer number (2033800719888).

Almost surely, 2^{313424222424313} is an apocalyptic number.

It is an amenable number.

313424222424313 is a deficient number, since it is larger than the sum of its proper divisors (125876733071495).

313424222424313 is a wasteful number, since it uses less digits than its factorization.

313424222424313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7597 (or 7566 counting only the distinct ones).

The product of its digits is 663552, while the sum is 40.

The spelling of 313424222424313 in words is "three hundred thirteen trillion, four hundred twenty-four billion, two hundred twenty-two million, four hundred twenty-four thousand, three hundred thirteen".