413331043100 has 72 divisors (see below), whose sum is σ = 912957400320. Its totient is φ = 162382841280.

The previous prime is 413331043093. The next prime is 413331043117. The reversal of 413331043100 is 1340133314.

It is a super-2 number, since 2×413331043100² (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6594509 + ... + 6656891.

Almost surely, 2^413331043100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413331043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456478700160).

413331043100 is an abundant number, since it is smaller than the sum of its proper divisors (499626357220).

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

413331043100 is a wasteful number, since it uses less digits than its factorization.

413331043100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63579 (or 63572 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 413331043100 its reverse (1340133314), we get a palindrome (414671176414).

The spelling of 413331043100 in words is "four hundred thirteen billion, three hundred thirty-one million, forty-three thousand, one hundred".