314313313413 has 16 divisors (see below), whose sum is σ = 457192512000. Its totient is φ = 190488954480.

The previous prime is 314313313331. The next prime is 314313313427.

314313313413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314313313413 - 2¹⁰ = 314313312389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314313315413) 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, 2649238 + ... + 2765336.

It is an arithmetic number, because the mean of its divisors is an integer number (28574532000).

Almost surely, 2^314313313413 is an apocalyptic number.

314313313413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314313313413 is a deficient number, since it is larger than the sum of its proper divisors (142879198587).

314313313413 is a wasteful number, since it uses less digits than its factorization.

314313313413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198152.

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

It can be divided in two parts, 314313 and 313413, that added together give a palindrome (627726).

The spelling of 314313313413 in words is "three hundred fourteen billion, three hundred thirteen million, three hundred thirteen thousand, four hundred thirteen".