132233103331200 has 768 divisors, whose sum is σ = 503825114289600. Its totient is φ = 33839081717760.

The previous prime is 132233103331171. The next prime is 132233103331213. The reversal of 132233103331200 is 2133301332231.

132233103331200 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 3 + 310 + 33 + 312 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233083084 + ... + 233649716.

Almost surely, 2^{132233103331200} is an apocalyptic number.

132233103331200 is a gapful number since it is divisible by the number (10) 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 132233103331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251912557144800).

132233103331200 is an abundant number, since it is smaller than the sum of its proper divisors (371592010958400).

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

132233103331200 is a wasteful number, since it uses less digits than its factorization.

132233103331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566776 (or 566753 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132233103331200 its reverse (2133301332231), we get a palindrome (134366404663431).

The spelling of 132233103331200 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, one hundred three million, three hundred thirty-one thousand, two hundred".