113002123000200 has 768 divisors, whose sum is σ = 416756982988800. Its totient is φ = 24785071718400.

The previous prime is 113002123000177. The next prime is 113002123000289. The reversal of 113002123000200 is 2000321200311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113002123000200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18176307492 + ... + 18176313708.

It is an arithmetic number, because the mean of its divisors is an integer number (542652321600).

Almost surely, 2^{113002123000200} is an apocalyptic number.

113002123000200 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 113002123000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208378491494400).

113002123000200 is an abundant number, since it is smaller than the sum of its proper divisors (303754859988600).

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

113002123000200 is a wasteful number, since it uses less digits than its factorization.

113002123000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7430 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 113002123000200 its reverse (2000321200311), we get a palindrome (115002444200511).

The spelling of 113002123000200 in words is "one hundred thirteen trillion, two billion, one hundred twenty-three million, two hundred", and thus it is an aban number.