113534514404300 has 144 divisors (see below), whose sum is σ = 269031368390400. Its totient is φ = 41244714451200.

The previous prime is 113534514404279. The next prime is 113534514404383. The reversal of 113534514404300 is 3404415435311.

It is a super-2 number, since 2×113534514404300² (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 47 ways as a sum of consecutive naturals, for example, 5006140361 + ... + 5006163039.

It is an arithmetic number, because the mean of its divisors is an integer number (1868273391600).

Almost surely, 2^{113534514404300} is an apocalyptic number.

113534514404300 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 113534514404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134515684195200).

113534514404300 is an abundant number, since it is smaller than the sum of its proper divisors (155496853986100).

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

113534514404300 is a wasteful number, since it uses less digits than its factorization.

113534514404300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26976 (or 26969 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 113534514404300 its reverse (3404415435311), we get a palindrome (116938929839611).

The spelling of 113534514404300 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred fourteen million, four hundred four thousand, three hundred".