132311333322000 has 480 divisors, whose sum is σ = 531500444127744. Its totient is φ = 30049958016000.

The previous prime is 132311333321969. The next prime is 132311333322001. The reversal of 132311333322000 is 223333113231.

132311333322000 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 1 + 333 + 322 + 0 + 0 + 0 = 666.

132311333322000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132311333322001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16437765 + ... + 23126235.

Almost surely, 2^{132311333322000} is an apocalyptic number.

132311333322000 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 132311333322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265750222063872).

132311333322000 is an abundant number, since it is smaller than the sum of its proper divisors (399189110805744).

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

132311333322000 is a wasteful number, since it uses less digits than its factorization.

132311333322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688664 (or 6688645 counting only the distinct ones).

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

Adding to 132311333322000 its reverse (223333113231), we get a palindrome (132534666435231).

The spelling of 132311333322000 in words is "one hundred thirty-two trillion, three hundred eleven billion, three hundred thirty-three million, three hundred twenty-two thousand".