132311322000 has 720 divisors, whose sum is σ = 547139449584. Its totient is φ = 29601792000.

The previous prime is 132311321981. The next prime is 132311322007. The reversal of 132311322000 is 223113231.

132311322000 is a `hidden beast` number, since 1 + 32 + 311 + 322 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31614262416 + 100697059584 = 177804^2 + 317328^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132311322007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28311664 + ... + 28316336.

Almost surely, 2^132311322000 is an apocalyptic number.

132311322000 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 132311322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273569724792).

132311322000 is an abundant number, since it is smaller than the sum of its proper divisors (414828127584).

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

132311322000 is a wasteful number, since it uses less digits than its factorization.

132311322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132311322000 its reverse (223113231), we get a palindrome (132534435231).

The spelling of 132311322000 in words is "one hundred thirty-two billion, three hundred eleven million, three hundred twenty-two thousand".