413234133400100 has 72 divisors (see below), whose sum is σ = 897567331076640. Its totient is φ = 165137118219520.

The previous prime is 413234133400063. The next prime is 413234133400111. The reversal of 413234133400100 is 1004331432314.

It is a happy 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, 4434795311 + ... + 4434888489.

It is an arithmetic number, because the mean of its divisors is an integer number (12466212931620).

Almost surely, 2^{413234133400100} is an apocalyptic number.

It is an amenable number.

413234133400100 is an abundant number, since it is smaller than the sum of its proper divisors (484333197676540).

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

413234133400100 is a wasteful number, since it uses less digits than its factorization.

413234133400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134717 (or 134710 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 413234133400100 its reverse (1004331432314), we get a palindrome (414238464832414).

The spelling of 413234133400100 in words is "four hundred thirteen trillion, two hundred thirty-four billion, one hundred thirty-three million, four hundred thousand, one hundred".