314310013413 has 16 divisors (see below), whose sum is σ = 458805183552. Its totient is φ = 189813008000.

The previous prime is 314310013397. The next prime is 314310013441.

314310013413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314310013413 - 2⁴ = 314310013397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314310011413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16938318 + ... + 16956863.

It is an arithmetic number, because the mean of its divisors is an integer number (28675323972).

Almost surely, 2^314310013413 is an apocalyptic number.

314310013413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314310013413 is a deficient number, since it is larger than the sum of its proper divisors (144495170139).

314310013413 is a wasteful number, since it uses less digits than its factorization.

314310013413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33895476.

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

It can be divided in two parts, 3143100 and 13413, that added together give a palindrome (3156513).

The spelling of 314310013413 in words is "three hundred fourteen billion, three hundred ten million, thirteen thousand, four hundred thirteen".