113219743104 has 384 divisors, whose sum is σ = 362989317600. Its totient is φ = 33653587968.

The previous prime is 113219743097. The next prime is 113219743139. The reversal of 113219743104 is 401347912311.

It is a happy number.

113219743104 is a `hidden beast` number, since 1 + 1 + 3 + 219 + 7 + 431 + 0 + 4 = 666.

113219743104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53178712 + ... + 53180840.

Almost surely, 2^113219743104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113219743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181494658800).

113219743104 is an abundant number, since it is smaller than the sum of its proper divisors (249769574496).

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

113219743104 is a wasteful number, since it uses less digits than its factorization.

113219743104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 113219743104 in words is "one hundred thirteen billion, two hundred nineteen million, seven hundred forty-three thousand, one hundred four".