113111031200 has 288 divisors, whose sum is σ = 289452692592. Its totient is φ = 43130880000.

The previous prime is 113111031193. The next prime is 113111031251. The reversal of 113111031200 is 2130111311.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 7389809296 + 105721221904 = 85964^2 + 325148^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261226184 + ... + 261226616.

Almost surely, 2^113111031200 is an apocalyptic number.

113111031200 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 113111031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144726346296).

113111031200 is an abundant number, since it is smaller than the sum of its proper divisors (176341661392).

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

113111031200 is a wasteful number, since it uses less digits than its factorization.

113111031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 655 counting only the distinct ones).

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

Adding to 113111031200 its reverse (2130111311), we get a palindrome (115241142511).

The spelling of 113111031200 in words is "one hundred thirteen billion, one hundred eleven million, thirty-one thousand, two hundred".