113534120000 has 280 divisors, whose sum is σ = 338695832640. Its totient is φ = 36875520000.

The previous prime is 113534119997. The next prime is 113534120009. The reversal of 113534120000 is 21435311.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (113534120009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5309330 + ... + 5330670.

Almost surely, 2^113534120000 is an apocalyptic number.

113534120000 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 113534120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169347916320).

113534120000 is an abundant number, since it is smaller than the sum of its proper divisors (225161712640).

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

113534120000 is an equidigital number, since it uses as much as digits as its factorization.

113534120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21399 (or 21374 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 113534120000 its reverse (21435311), we get a palindrome (113555555311).

The spelling of 113534120000 in words is "one hundred thirteen billion, five hundred thirty-four million, one hundred twenty thousand".