113117312 has 128 divisors (see below), whose sum is σ = 293760000. Its totient is φ = 42071040.

The previous prime is 113117189. The next prime is 113117327. The reversal of 113117312 is 213711311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 226439 + ... + 226937.

It is an arithmetic number, because the mean of its divisors is an integer number (2295000).

Almost surely, 2^113117312 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 113117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

113117312 is an abundant number, since it is smaller than the sum of its proper divisors (180642688).

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

113117312 is a wasteful number, since it uses less digits than its factorization.

113117312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 542 counting only the distinct ones).

The product of its digits is 126, while the sum is 20.

The square root of 113117312 is about 10635.6622736903. The cubic root of 113117312 is about 483.6260572686.

Adding to 113117312 its reverse (213711311), we get a palindrome (326828623).

The spelling of 113117312 in words is "one hundred thirteen million, one hundred seventeen thousand, three hundred twelve".