132131322000 has 240 divisors, whose sum is σ = 462147948912. Its totient is φ = 35184844800.

The previous prime is 132131321999. The next prime is 132131322013. The reversal of 132131322000 is 223131231.

132131322000 is a `hidden beast` number, since 132 + 1 + 313 + 220 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 62486000784 + 69645321216 = 249972^2 + 263904^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13621152 + ... + 13630848.

Almost surely, 2^132131322000 is an apocalyptic number.

132131322000 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 132131322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231073974456).

132131322000 is an abundant number, since it is smaller than the sum of its proper divisors (330016626912).

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

132131322000 is a wasteful number, since it uses less digits than its factorization.

132131322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483 (or 10464 counting only the distinct ones).

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

Adding to 132131322000 its reverse (223131231), we get a palindrome (132354453231).

The spelling of 132131322000 in words is "one hundred thirty-two billion, one hundred thirty-one million, three hundred twenty-two thousand".