313341143313 has 16 divisors (see below), whose sum is σ = 468087016896. Its totient is φ = 184771189440.

The previous prime is 313341143273. The next prime is 313341143321.

313341143313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313341143313 - 2¹⁸ = 313340881169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313341143363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128312106 + ... + 128314547.

It is an arithmetic number, because the mean of its divisors is an integer number (29255438556).

Almost surely, 2^313341143313 is an apocalyptic number.

313341143313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313341143313 is a deficient number, since it is larger than the sum of its proper divisors (154745873583).

313341143313 is a wasteful number, since it uses less digits than its factorization.

313341143313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256626704.

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

It can be divided in two parts, 313341 and 143313, that added together give a palindrome (456654).

The spelling of 313341143313 in words is "three hundred thirteen billion, three hundred forty-one million, one hundred forty-three thousand, three hundred thirteen".