313221122313 has 32 divisors (see below), whose sum is σ = 486327628800. Its totient is φ = 177306897600.

The previous prime is 313221122299. The next prime is 313221122339.

313221122313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313221122313 - 2⁴ = 313221122297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313221122213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3473478 + ... + 3562511.

It is an arithmetic number, because the mean of its divisors is an integer number (15197738400).

Almost surely, 2^313221122313 is an apocalyptic number.

313221122313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313221122313 is a deficient number, since it is larger than the sum of its proper divisors (173106506487).

313221122313 is a wasteful number, since it uses less digits than its factorization.

313221122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7036093.

The product of its digits is 1296, while the sum is 24.

It can be divided in two parts, 313221 and 122313, that added together give a palindrome (435534).

The spelling of 313221122313 in words is "three hundred thirteen billion, two hundred twenty-one million, one hundred twenty-two thousand, three hundred thirteen".