113635200000 has 1056 divisors, whose sum is σ = 460545523200. Its totient is φ = 24330240000.

The previous prime is 113635199929. The next prime is 113635200013. The reversal of 113635200000 is 2536311.

It is a super-3 number, since 3×113635200000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 113635200000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1276799956 + ... + 1276800044.

Almost surely, 2^113635200000 is an apocalyptic number.

113635200000 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 113635200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230272761600).

113635200000 is an abundant number, since it is smaller than the sum of its proper divisors (346910323200).

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

113635200000 is an frugal number, since it uses more digits than its factorization.

113635200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 113635200000 its reverse (2536311), we get a palindrome (113637736311).

The spelling of 113635200000 in words is "one hundred thirteen billion, six hundred thirty-five million, two hundred thousand".