413120000100 has 288 divisors, whose sum is σ = 1286167680000. Its totient is φ = 102066117120.

The previous prime is 413119999991. The next prime is 413120000107. The reversal of 413120000100 is 1000021314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (413120000107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66920614 + ... + 66926786.

It is an arithmetic number, because the mean of its divisors is an integer number (4465860000).

Almost surely, 2^413120000100 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 413120000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643083840000).

413120000100 is an abundant number, since it is smaller than the sum of its proper divisors (873047679900).

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

413120000100 is a wasteful number, since it uses less digits than its factorization.

413120000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6467 (or 6460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 413120000100 its reverse (1000021314), we get a palindrome (414120021414).

The spelling of 413120000100 in words is "four hundred thirteen billion, one hundred twenty million, one hundred", and thus it is an aban number.