313222424222313 has 12 divisors (see below), whose sum is σ = 456911919163908. Its totient is φ = 206747474733600.

The previous prime is 313222424222311. The next prime is 313222424222327.

313222424222313 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 2 + 2 + 424 + 2 + 223 + 1 + 3 = 666.

313222424222313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 207653950501209 + 105568473721104 = 14410203^2 + 10274652^2 .

It is not a de Polignac number, because 313222424222313 - 2¹ = 313222424222311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313222424222311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172289561370 + ... + 172289563187.

It is an arithmetic number, because the mean of its divisors is an integer number (38075993263659).

Almost surely, 2^{313222424222313} is an apocalyptic number.

It is an amenable number.

313222424222313 is a deficient number, since it is larger than the sum of its proper divisors (143689494941595).

313222424222313 is a wasteful number, since it uses less digits than its factorization.

313222424222313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344579124664 (or 344579124661 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The spelling of 313222424222313 in words is "three hundred thirteen trillion, two hundred twenty-two billion, four hundred twenty-four million, two hundred twenty-two thousand, three hundred thirteen".