413113202311314 has 32 divisors (see below), whose sum is σ = 841666745934144. Its totient is φ = 135141202198080.

The previous prime is 413113202311261. The next prime is 413113202311349.

It is a happy number.

413113202311314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1273793389 + ... + 1274117664.

It is an arithmetic number, because the mean of its divisors is an integer number (26302085810442).

Almost surely, 2^{413113202311314} is an apocalyptic number.

413113202311314 is an abundant number, since it is smaller than the sum of its proper divisors (428553543622830).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413113202311314 is a wasteful number, since it uses less digits than its factorization.

413113202311314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547911562.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 41311320 and 2311314, that added together give a palindrome (43622634).

The spelling of 413113202311314 in words is "four hundred thirteen trillion, one hundred thirteen billion, two hundred two million, three hundred eleven thousand, three hundred fourteen".