113534153310000 has 400 divisors, whose sum is σ = 378902215079168. Its totient is φ = 29262384000000.

The previous prime is 113534153309999. The next prime is 113534153310043. The reversal of 113534153310000 is 13351435311.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×113534153310000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 113534153310000.

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 79 ways as a sum of consecutive naturals, for example, 167271315 + ... + 167948685.

Almost surely, 2^{113534153310000} is an apocalyptic number.

113534153310000 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 113534153310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189451107539584).

113534153310000 is an abundant number, since it is smaller than the sum of its proper divisors (265368061769168).

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

113534153310000 is a wasteful number, since it uses less digits than its factorization.

113534153310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677590 (or 677569 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 113534153310000 in words is "one hundred thirteen trillion, five hundred thirty-four billion, one hundred fifty-three million, three hundred ten thousand".