413331133314 has 128 divisors (see below), whose sum is σ = 935905259520. Its totient is φ = 120605760000.

The previous prime is 413331133279. The next prime is 413331133361.

413331133314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79929949 + ... + 79935119.

It is an arithmetic number, because the mean of its divisors is an integer number (7311759840).

Almost surely, 2^413331133314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413331133314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467952629760).

413331133314 is an abundant number, since it is smaller than the sum of its proper divisors (522574126206).

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

413331133314 is a wasteful number, since it uses less digits than its factorization.

413331133314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608.

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

It can be divided in two parts, 413331 and 133314, that added together give a palindrome (546645).

The spelling of 413331133314 in words is "four hundred thirteen billion, three hundred thirty-one million, one hundred thirty-three thousand, three hundred fourteen".