413033132100 has 216 divisors, whose sum is σ = 1264243770720. Its totient is φ = 104097576960.

The previous prime is 413033132069. The next prime is 413033132123. The reversal of 413033132100 is 1231330314.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47972596 + ... + 47981204.

It is an arithmetic number, because the mean of its divisors is an integer number (5852980420).

Almost surely, 2^413033132100 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 413033132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632121885360).

413033132100 is an abundant number, since it is smaller than the sum of its proper divisors (851210638620).

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

413033132100 is a wasteful number, since it uses less digits than its factorization.

413033132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107 (or 9081 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 413033132100 its reverse (1231330314), we get a palindrome (414264462414).

The spelling of 413033132100 in words is "four hundred thirteen billion, thirty-three million, one hundred thirty-two thousand, one hundred".