113311101200 has 120 divisors (see below), whose sum is σ = 297624867456. Its totient is φ = 41114304000.

The previous prime is 113311101199. The next prime is 113311101209. The reversal of 113311101200 is 2101113311.

It is a happy number.

It is a super-4 number, since 4×113311101200⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (113311101209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2009390 + ... + 2065010.

Almost surely, 2^113311101200 is an apocalyptic number.

113311101200 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 113311101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148812433728).

113311101200 is an abundant number, since it is smaller than the sum of its proper divisors (184313766256).

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

113311101200 is a wasteful number, since it uses less digits than its factorization.

113311101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56113 (or 56102 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 113311101200 its reverse (2101113311), we get a palindrome (115412214511).

The spelling of 113311101200 in words is "one hundred thirteen billion, three hundred eleven million, one hundred one thousand, two hundred".