313122303221313 has 16 divisors (see below), whose sum is σ = 417804284016896. Its totient is φ = 208594280054160.

The previous prime is 313122303221291. The next prime is 313122303221333.

313122303221313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313122303221313 - 2¹⁶ = 313122303155777 is a prime.

It is a super-3 number, since 3×313122303221313³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313122303221333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68557998 + ... + 72982488.

It is an arithmetic number, because the mean of its divisors is an integer number (26112767751056).

Almost surely, 2^{313122303221313} is an apocalyptic number.

It is an amenable number.

313122303221313 is a deficient number, since it is larger than the sum of its proper divisors (104681980795583).

313122303221313 is a wasteful number, since it uses less digits than its factorization.

313122303221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441884.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 31312230 and 3221313, that added together give a palindrome (34533543).

The spelling of 313122303221313 in words is "three hundred thirteen trillion, one hundred twenty-two billion, three hundred three million, two hundred twenty-one thousand, three hundred thirteen".