132331033303200 has 864 divisors, whose sum is σ = 522147677284800. Its totient is φ = 32314803240960.

The previous prime is 132331033303193. The next prime is 132331033303213. The reversal of 132331033303200 is 2303330133231.

132331033303200 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 1 + 0 + 3 + 330 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 230682331 + ... + 231255269.

It is an arithmetic number, because the mean of its divisors is an integer number (604337589450).

Almost surely, 2^{132331033303200} is an apocalyptic number.

132331033303200 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 132331033303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261073838642400).

132331033303200 is an abundant number, since it is smaller than the sum of its proper divisors (389816643981600).

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

132331033303200 is a wasteful number, since it uses less digits than its factorization.

132331033303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573039 (or 573003 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 132331033303200 its reverse (2303330133231), we get a palindrome (134634363436431).

The spelling of 132331033303200 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, thirty-three million, three hundred three thousand, two hundred".