113001100200000 has 504 divisors, whose sum is σ = 404982824205960. Its totient is φ = 30123417600000.

The previous prime is 113001100199951. The next prime is 113001100200019. The reversal of 113001100200000 is 2001100311.

It can be written as a sum of positive squares in 12 ways, for example, as 112193345042496 + 807755157504 = 10592136^2 + 898752^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6373791136 + ... + 6373808864.

It is an arithmetic number, because the mean of its divisors is an integer number (803537349615).

Almost surely, 2^{113001100200000} is an apocalyptic number.

113001100200000 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 113001100200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202491412102980).

113001100200000 is an abundant number, since it is smaller than the sum of its proper divisors (291981724005960).

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

113001100200000 is an equidigital number, since it uses as much as digits as its factorization.

113001100200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21313 (or 21280 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 113001100200000 its reverse (2001100311), we get a palindrome (113003101300311).

It can be divided in two parts, 113001 and 100200000, that added together give a palindrome (100313001).

The spelling of 113001100200000 in words is "one hundred thirteen trillion, one billion, one hundred million, two hundred thousand".