113313302102200 has 192 divisors, whose sum is σ = 267053532837120. Its totient is φ = 44709450240000.

The previous prime is 113313302102191. The next prime is 113313302102207. The reversal of 113313302102200 is 2201203313311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313302102207) 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, 16381853142 + ... + 16381860058.

It is an arithmetic number, because the mean of its divisors is an integer number (1390903816860).

Almost surely, 2^{113313302102200} is an apocalyptic number.

113313302102200 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 113313302102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133526766418560).

113313302102200 is an abundant number, since it is smaller than the sum of its proper divisors (153740230734920).

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

113313302102200 is a wasteful number, since it uses less digits than its factorization.

113313302102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9929 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 113313302102200 its reverse (2201203313311), we get a palindrome (115514505415511).

The spelling of 113313302102200 in words is "one hundred thirteen trillion, three hundred thirteen billion, three hundred two million, one hundred two thousand, two hundred".