413333430100 has 144 divisors (see below), whose sum is σ = 988811712000. Its totient is φ = 149441797120.

The previous prime is 413333430047. The next prime is 413333430101. The reversal of 413333430100 is 1034333314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413333430101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3068976 + ... + 3200824.

It is an arithmetic number, because the mean of its divisors is an integer number (6866748000).

Almost surely, 2^413333430100 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 413333430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494405856000).

413333430100 is an abundant number, since it is smaller than the sum of its proper divisors (575478281900).

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

413333430100 is a wasteful number, since it uses less digits than its factorization.

413333430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131962 (or 131955 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 413333430100 its reverse (1034333314), we get a palindrome (414367763414).

The spelling of 413333430100 in words is "four hundred thirteen billion, three hundred thirty-three million, four hundred thirty thousand, one hundred".