201133312 has 36 divisors (see below), whose sum is σ = 404252100. Its totient is φ = 99872768.

The previous prime is 201133271. The next prime is 201133327. The reversal of 201133312 is 213331102.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 143616256 = 7584^2 + 11984^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35508 + ... + 40780.

It is an arithmetic number, because the mean of its divisors is an integer number (11229225).

Almost surely, 2^201133312 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 201133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202126050).

201133312 is an abundant number, since it is smaller than the sum of its proper divisors (203118788).

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

201133312 is an equidigital number, since it uses as much as digits as its factorization.

201133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 201133312 is about 14182.1476511846. The cubic root of 201133312 is about 585.9060758737.

Adding to 201133312 its reverse (213331102), we get a palindrome (414464414).

The spelling of 201133312 in words is "two hundred one million, one hundred thirty-three thousand, three hundred twelve".