113191188912 has 160 divisors (see below), whose sum is σ = 330151368960. Its totient is φ = 37124352000.

The previous prime is 113191188907. The next prime is 113191188919. The reversal of 113191188912 is 219881191311.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (113191188919) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8993568 + ... + 9006144.

It is an arithmetic number, because the mean of its divisors is an integer number (2063446056).

Almost surely, 2^113191188912 is an apocalyptic number.

113191188912 is a gapful number since it is divisible by the number (12) 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 113191188912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165075684480).

113191188912 is an abundant number, since it is smaller than the sum of its proper divisors (216960180048).

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

113191188912 is a wasteful number, since it uses less digits than its factorization.

113191188912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12928 (or 12916 counting only the distinct ones).

The product of its digits is 31104, while the sum is 45.

The spelling of 113191188912 in words is "one hundred thirteen billion, one hundred ninety-one million, one hundred eighty-eight thousand, nine hundred twelve".