113313011200 has 120 divisors (see below), whose sum is σ = 281648734488. Its totient is φ = 45178798080.

The previous prime is 113313011183. The next prime is 113313011219. The reversal of 113313011200 is 2110313311.

It is a super-2 number, since 2×113313011200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3992259 + ... + 4020541.

Almost surely, 2^113313011200 is an apocalyptic number.

113313011200 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 113313011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140824367244).

113313011200 is an abundant number, since it is smaller than the sum of its proper divisors (168335723288).

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

113313011200 is an equidigital number, since it uses as much as digits as its factorization.

113313011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28624 (or 28603 counting only the distinct ones).

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

Adding to 113313011200 its reverse (2110313311), we get a palindrome (115423324511).

The spelling of 113313011200 in words is "one hundred thirteen billion, three hundred thirteen million, eleven thousand, two hundred".