133233040332312 has 128 divisors (see below), whose sum is σ = 351542045184000. Its totient is φ = 41962209045120.

The previous prime is 133233040332241. The next prime is 133233040332313. The reversal of 133233040332312 is 213233040332331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133233040332313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546580653 + ... + 546824355.

It is an arithmetic number, because the mean of its divisors is an integer number (2746422228000).

Almost surely, 2^{133233040332312} is an apocalyptic number.

133233040332312 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 133233040332312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175771022592000).

133233040332312 is an abundant number, since it is smaller than the sum of its proper divisors (218309004851688).

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

133233040332312 is a wasteful number, since it uses less digits than its factorization.

133233040332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246901 (or 246897 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 33.

Adding to 133233040332312 its reverse (213233040332331), we get a palindrome (346466080664643).

The spelling of 133233040332312 in words is "one hundred thirty-three trillion, two hundred thirty-three billion, forty million, three hundred thirty-two thousand, three hundred twelve".