314021120413 has 64 divisors (see below), whose sum is σ = 436967032320. Its totient is φ = 217678003200.

The previous prime is 314021120381. The next prime is 314021120431.

314021120413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314021120413 - 2⁵ = 314021120381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314021120443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16159443 + ... + 16178863.

It is an arithmetic number, because the mean of its divisors is an integer number (6827609880).

Almost surely, 2^314021120413 is an apocalyptic number.

It is an amenable number.

314021120413 is a deficient number, since it is larger than the sum of its proper divisors (122945911907).

314021120413 is a wasteful number, since it uses less digits than its factorization.

314021120413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20038.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 314021 and 120413, that added together give a palindrome (434434).

The spelling of 314021120413 in words is "three hundred fourteen billion, twenty-one million, one hundred twenty thousand, four hundred thirteen".