113133132 has 96 divisors (see below), whose sum is σ = 337075200. Its totient is φ = 32144256.

The previous prime is 113133131. The next prime is 113133143. The reversal of 113133132 is 231331311.

It is a happy number.

It is a super-2 number, since 2×113133132² = 25598211112258848, which contains 22 as substring.

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 (113133131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198544 + ... + 199112.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2^113133132 is an apocalyptic number.

113133132 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 113133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

113133132 is an abundant number, since it is smaller than the sum of its proper divisors (223942068).

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

113133132 is a wasteful number, since it uses less digits than its factorization.

113133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 113133132 is about 10636.4059719437. The cubic root of 113133132 is about 483.6486020275.

Adding to 113133132 its reverse (231331311), we get a palindrome (344464443).

The spelling of 113133132 in words is "one hundred thirteen million, one hundred thirty-three thousand, one hundred thirty-two".