133133312 has 88 divisors (see below), whose sum is σ = 292655496. Its totient is φ = 60162048.

The previous prime is 133133291. The next prime is 133133317. The reversal of 133133312 is 213331331.

It can be written as a sum of positive squares in 4 ways, for example, as 9834496 + 123298816 = 3136^2 + 11104^2 .

Its product of digits (486) is a multiple of the sum of its prime factors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133133317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971708 + ... + 971844.

Almost surely, 2^133133312 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 133133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146327748).

133133312 is an abundant number, since it is smaller than the sum of its proper divisors (159522184).

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

133133312 is a wasteful number, since it uses less digits than its factorization.

133133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 225 counting only the distinct ones).

The product of its digits is 486, while the sum is 20.

The square root of 133133312 is about 11538.3409552674. The cubic root of 133133312 is about 510.6173633530.

Adding to 133133312 its reverse (213331331), we get a palindrome (346464643).

It can be divided in two parts, 1331 and 33312, that added together give a palindrome (34643).

The spelling of 133133312 in words is "one hundred thirty-three million, one hundred thirty-three thousand, three hundred twelve".