113305214112 has 96 divisors (see below), whose sum is σ = 299437617024. Its totient is φ = 37513344000.

The previous prime is 113305214089. The next prime is 113305214123. The reversal of 113305214112 is 211412503311.

113305214112 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34322862 + ... + 34326162.

It is an arithmetic number, because the mean of its divisors is an integer number (3119141844).

Almost surely, 2^113305214112 is an apocalyptic number.

113305214112 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 113305214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149718808512).

113305214112 is an abundant number, since it is smaller than the sum of its proper divisors (186132402912).

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

113305214112 is a wasteful number, since it uses less digits than its factorization.

113305214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5622 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 113305214112 its reverse (211412503311), we get a palindrome (324717717423).

The spelling of 113305214112 in words is "one hundred thirteen billion, three hundred five million, two hundred fourteen thousand, one hundred twelve".