133113132 has 120 divisors (see below), whose sum is σ = 372408960. Its totient is φ = 41368320.

The previous prime is 133113119. The next prime is 133113139. The reversal of 133113132 is 231311331.

It is a happy number.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (133113139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291048 + ... + 291504.

It is an arithmetic number, because the mean of its divisors is an integer number (3103408).

Almost surely, 2^133113132 is an apocalyptic number.

133113132 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 133113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186204480).

133113132 is an abundant number, since it is smaller than the sum of its proper divisors (239295828).

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

133113132 is a wasteful number, since it uses less digits than its factorization.

133113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

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

The square root of 133113132 is about 11537.4664463217. The cubic root of 133113132 is about 510.5915627002.

Adding to 133113132 its reverse (231311331), we get a palindrome (364424463).

The spelling of 133113132 in words is "one hundred thirty-three million, one hundred thirteen thousand, one hundred thirty-two".