413321104100 has 72 divisors (see below), whose sum is σ = 917997577728. Its totient is φ = 161442691200.

The previous prime is 413321104081. The next prime is 413321104117. The reversal of 413321104100 is 1401123314.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 21305405 + ... + 21324795.

Almost surely, 2^413321104100 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 413321104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458998788864).

413321104100 is an abundant number, since it is smaller than the sum of its proper divisors (504676473628).

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

413321104100 is a wasteful number, since it uses less digits than its factorization.

413321104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24405 (or 24398 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 413321104100 its reverse (1401123314), we get a palindrome (414722227414).

The spelling of 413321104100 in words is "four hundred thirteen billion, three hundred twenty-one million, one hundred four thousand, one hundred".