133031312 has 40 divisors (see below), whose sum is σ = 275949600. Its totient is φ = 61938432.

The previous prime is 133031299. The next prime is 133031377. The reversal of 133031312 is 213130331.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14228 + ... + 21644.

It is an arithmetic number, because the mean of its divisors is an integer number (6898740).

Almost surely, 2^133031312 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 133031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137974800).

133031312 is an abundant number, since it is smaller than the sum of its proper divisors (142918288).

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

133031312 is a wasteful number, since it uses less digits than its factorization.

133031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503 (or 7497 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 133031312 is about 11533.9200621471. The cubic root of 133031312 is about 510.4869269829.

Adding to 133031312 its reverse (213130331), we get a palindrome (346161643).

The spelling of 133031312 in words is "one hundred thirty-three million, thirty-one thousand, three hundred twelve".