133232049633312 has 1728 divisors, whose sum is σ = 476530629120000. Its totient is φ = 35276404939776.

The previous prime is 133232049633311. The next prime is 133232049633341. The reversal of 133232049633312 is 213336940232331.

133232049633312 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 2 + 0 + 4 + 9 + 633 + 3 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (133232049633311) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 243568646223 + ... + 243568646769.

It is an arithmetic number, because the mean of its divisors is an integer number (275770040000).

Almost surely, 2^{133232049633312} is an apocalyptic number.

133232049633312 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 133232049633312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238265314560000).

133232049633312 is an abundant number, since it is smaller than the sum of its proper divisors (343298579486688).

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

133232049633312 is a wasteful number, since it uses less digits than its factorization.

133232049633312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 45.

Adding to 133232049633312 its reverse (213336940232331), we get a palindrome (346568989865643).

The spelling of 133232049633312 in words is "one hundred thirty-three trillion, two hundred thirty-two billion, forty-nine million, six hundred thirty-three thousand, three hundred twelve".