413131041304 has 128 divisors (see below), whose sum is σ = 871824384000. Its totient is φ = 182618150400.

The previous prime is 413131041287. The next prime is 413131041307. The reversal of 413131041304 is 403140131314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413131041307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150721374 + ... + 150724114.

It is an arithmetic number, because the mean of its divisors is an integer number (6811128000).

Almost surely, 2^413131041304 is an apocalyptic number.

It is an amenable number.

413131041304 is an abundant number, since it is smaller than the sum of its proper divisors (458693342696).

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

413131041304 is a wasteful number, since it uses less digits than its factorization.

413131041304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 413131041304 its reverse (403140131314), we get a palindrome (816271172618).

The spelling of 413131041304 in words is "four hundred thirteen billion, one hundred thirty-one million, forty-one thousand, three hundred four".