313230303032313 has 64 divisors (see below), whose sum is σ = 443557107302400. Its totient is φ = 196294793472000.

The previous prime is 313230303032291. The next prime is 313230303032347.

It is a happy number.

313230303032313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313230303032313 - 2²⁰ = 313230301983737 is a prime.

It is a super-2 number, since 2×313230303032313² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313230303032363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1538516158 + ... + 1538719736.

It is an arithmetic number, because the mean of its divisors is an integer number (6930579801600).

Almost surely, 2^{313230303032313} is an apocalyptic number.

It is an amenable number.

313230303032313 is a deficient number, since it is larger than the sum of its proper divisors (130326804270087).

313230303032313 is a wasteful number, since it uses less digits than its factorization.

313230303032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205414.

The product of its (nonzero) digits is 26244, while the sum is 30.

It can be divided in two parts, 31323030 and 3032313, that added together give a palindrome (34355343).

The spelling of 313230303032313 in words is "three hundred thirteen trillion, two hundred thirty billion, three hundred three million, thirty-two thousand, three hundred thirteen".