132003213132312 has 192 divisors, whose sum is σ = 379951292635200. Its totient is φ = 41258412195840.

The previous prime is 132003213132311. The next prime is 132003213132383. The reversal of 132003213132312 is 213231312300231.

132003213132312 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 0 + 3 + 213 + 132 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132003213132311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543950362 + ... + 544192982.

It is an arithmetic number, because the mean of its divisors is an integer number (1978912982475).

Almost surely, 2^{132003213132312} is an apocalyptic number.

132003213132312 is a gapful number since it is divisible by the number (12) 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 132003213132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189975646317600).

132003213132312 is an abundant number, since it is smaller than the sum of its proper divisors (247948079502888).

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

132003213132312 is a wasteful number, since it uses less digits than its factorization.

132003213132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244306 (or 244299 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 132003213132312 its reverse (213231312300231), we get a palindrome (345234525432543).

The spelling of 132003213132312 in words is "one hundred thirty-two trillion, three billion, two hundred thirteen million, one hundred thirty-two thousand, three hundred twelve".