113100200000 has 252 divisors, whose sum is σ = 293524846020. Its totient is φ = 43232640000.

The previous prime is 113100199999. The next prime is 113100200053. The reversal of 113100200000 is 2001311.

It can be written as a sum of positive squares in 6 ways, for example, as 94760540224 + 18339659776 = 307832^2 + 135424^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105799466 + ... + 105800534.

It is an arithmetic number, because the mean of its divisors is an integer number (1164781135).

Almost surely, 2^113100200000 is an apocalyptic number.

113100200000 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 113100200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146762423010).

113100200000 is an abundant number, since it is smaller than the sum of its proper divisors (180424646020).

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

113100200000 is an frugal number, since it uses more digits than its factorization.

113100200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 113100200000 its reverse (2001311), we get a palindrome (113102201311).

The spelling of 113100200000 in words is "one hundred thirteen billion, one hundred million, two hundred thousand".