113313011000200 has 192 divisors, whose sum is σ = 291401779806720. Its totient is φ = 40631668992000.

The previous prime is 113313011000171. The next prime is 113313011000281. The reversal of 113313011000200 is 2000110313311.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783173865 + ... + 783318535.

It is an arithmetic number, because the mean of its divisors is an integer number (1517717603160).

Almost surely, 2^{113313011000200} is an apocalyptic number.

113313011000200 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 113313011000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145700889903360).

113313011000200 is an abundant number, since it is smaller than the sum of its proper divisors (178088768806520).

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

113313011000200 is a wasteful number, since it uses less digits than its factorization.

113313011000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149648 (or 149639 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 113313011000200 its reverse (2000110313311), we get a palindrome (115313121313511).

The spelling of 113313011000200 in words is "one hundred thirteen trillion, three hundred thirteen billion, eleven million, two hundred", and thus it is an aban number.