113303200200 has 192 divisors, whose sum is σ = 353910384000. Its totient is φ = 29985392640.

The previous prime is 113303200183. The next prime is 113303200201. The reversal of 113303200200 is 2002303311.

It is a super-2 number, since 2×113303200200² (a number of 23 digits) contains 22 as substring.

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 113303200200.

It is not an unprimeable number, because it can be changed into a prime (113303200201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49325452 + ... + 49327748.

It is an arithmetic number, because the mean of its divisors is an integer number (1843283250).

Almost surely, 2^113303200200 is an apocalyptic number.

113303200200 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 113303200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176955192000).

113303200200 is an abundant number, since it is smaller than the sum of its proper divisors (240607183800).

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

113303200200 is a wasteful number, since it uses less digits than its factorization.

113303200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 113303200200 its reverse (2002303311), we get a palindrome (115305503511).

The spelling of 113303200200 in words is "one hundred thirteen billion, three hundred three million, two hundred thousand, two hundred".