113408413350100 has 72 divisors (see below), whose sum is σ = 268598407039200. Its totient is φ = 41219490153600.

The previous prime is 113408413350073. The next prime is 113408413350139. The reversal of 113408413350100 is 1053314804311.

It is a super-2 number, since 2×113408413350100² (a number of 29 digits) contains 22 as substring.

It is a congruent 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, 22639170 + ... + 27190969.

It is an arithmetic number, because the mean of its divisors is an integer number (3730533431100).

Almost surely, 2^{113408413350100} is an apocalyptic number.

113408413350100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113408413350100 is an abundant number, since it is smaller than the sum of its proper divisors (155189993689100).

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

113408413350100 is a wasteful number, since it uses less digits than its factorization.

113408413350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49832233 (or 49832226 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 113408413350100 in words is "one hundred thirteen trillion, four hundred eight billion, four hundred thirteen million, three hundred fifty thousand, one hundred".