132110031312000 has 2304 divisors, whose sum is σ = 560788696971360. Its totient is φ = 29714227200000.

The previous prime is 132110031311971. The next prime is 132110031312013. The reversal of 132110031312000 is 213130011231.

132110031312000 is a `hidden beast` number, since 1 + 321 + 1 + 0 + 0 + 31 + 312 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 26270873262144 + 105839158049856 = 5125512^2 + 10287816^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 140393231530 + ... + 140393232470.

Almost surely, 2^{132110031312000} is an apocalyptic number.

132110031312000 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 132110031312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280394348485680).

132110031312000 is an abundant number, since it is smaller than the sum of its proper divisors (428678665659360).

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

132110031312000 is a wasteful number, since it uses less digits than its factorization.

132110031312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132110031312000 its reverse (213130011231), we get a palindrome (132323161323231).

The spelling of 132110031312000 in words is "one hundred thirty-two trillion, one hundred ten billion, thirty-one million, three hundred twelve thousand".