133032000312 has 24 divisors (see below), whose sum is σ = 360295001040. Its totient is φ = 44344000080.

The previous prime is 133032000301. The next prime is 133032000317. The reversal of 133032000312 is 213000230331.

133032000312 is a `hidden beast` number, since 1 + 3 + 30 + 320 + 0 + 0 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133032000317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 923833264 + ... + 923833407.

It is an arithmetic number, because the mean of its divisors is an integer number (15012291710).

Almost surely, 2^133032000312 is an apocalyptic number.

133032000312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133032000312 is an abundant number, since it is smaller than the sum of its proper divisors (227263000728).

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

133032000312 is a wasteful number, since it uses less digits than its factorization.

133032000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847666683 (or 1847666676 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133032000312 its reverse (213000230331), we get a palindrome (346032230643).

The spelling of 133032000312 in words is "one hundred thirty-three billion, thirty-two million, three hundred twelve", and thus it is an aban number.