113123232 has 72 divisors (see below), whose sum is σ = 324962820. Its totient is φ = 37324800.

The previous prime is 113123221. The next prime is 113123233. The reversal of 113123232 is 232321311.

It can be written as a sum of positive squares in 2 ways, for example, as 95179536 + 17943696 = 9756^2 + 4236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (113123233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27144 + ... + 31032.

Almost surely, 2^113123232 is an apocalyptic number.

113123232 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 113123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162481410).

113123232 is an abundant number, since it is smaller than the sum of its proper divisors (211839588).

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

113123232 is a wasteful number, since it uses less digits than its factorization.

113123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 3995 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113123232 is about 10635.9405789991. The cubic root of 113123232 is about 483.6344939858.

Adding to 113123232 its reverse (232321311), we get a palindrome (345444543).

The spelling of 113123232 in words is "one hundred thirteen million, one hundred twenty-three thousand, two hundred thirty-two".