133133112 has 128 divisors (see below), whose sum is σ = 425779200. Its totient is φ = 37756800.

The previous prime is 133133107. The next prime is 133133123. The reversal of 133133112 is 211331331.

It is a happy number.

133133112 is a `hidden beast` number, since 1 + 331 + 331 + 1 + 2 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288562 + ... + 289022.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^133133112 is an apocalyptic number.

133133112 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 133133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

133133112 is an abundant number, since it is smaller than the sum of its proper divisors (292646088).

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

133133112 is a wasteful number, since it uses less digits than its factorization.

133133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

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

The square root of 133133112 is about 11538.3322885069. The cubic root of 133133112 is about 510.6171076606.

Adding to 133133112 its reverse (211331331), we get a palindrome (344464443).

It can be divided in two parts, 1331 and 33112, that added together give a palindrome (34443).

The spelling of 133133112 in words is "one hundred thirty-three million, one hundred thirty-three thousand, one hundred twelve".