113335130304400 has 120 divisors (see below), whose sum is σ = 275104919908224. Its totient is φ = 44865030451200.

The previous prime is 113335130304343. The next prime is 113335130304427. The reversal of 113335130304400 is 4403031533311.

It is a super-2 number, since 2×113335130304400² (a number of 29 digits) contains 22 as substring.

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, 2086753245 + ... + 2086807555.

Almost surely, 2^{113335130304400} is an apocalyptic number.

113335130304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113335130304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137552459954112).

113335130304400 is an abundant number, since it is smaller than the sum of its proper divisors (161769789603824).

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

113335130304400 is a wasteful number, since it uses less digits than its factorization.

113335130304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108209 (or 108198 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 113335130304400 its reverse (4403031533311), we get a palindrome (117738161837711).

The spelling of 113335130304400 in words is "one hundred thirteen trillion, three hundred thirty-five billion, one hundred thirty million, three hundred four thousand, four hundred".