113534525110200 has 192 divisors, whose sum is σ = 357897361852800. Its totient is φ = 29769117580800.

The previous prime is 113534525110187. The next prime is 113534525110271. The reversal of 113534525110200 is 2011525435311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1941439 + ... + 15193361.

It is an arithmetic number, because the mean of its divisors is an integer number (1864048759650).

Almost surely, 2^{113534525110200} is an apocalyptic number.

113534525110200 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 113534525110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178948680926400).

113534525110200 is an abundant number, since it is smaller than the sum of its proper divisors (244362836742600).

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

113534525110200 is a wasteful number, since it uses less digits than its factorization.

113534525110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13252182 (or 13252173 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 113534525110200 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred twenty-five million, one hundred ten thousand, two hundred".