132133032031212 has 192 divisors, whose sum is σ = 348983442572800. Its totient is φ = 43224601432320.

The previous prime is 132133032031207. The next prime is 132133032031249. The reversal of 132133032031212 is 212130230331231.

132133032031212 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 330 + 3 + 2 + 0 + 312 + 12 = 666.

132133032031212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132133032031212² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2251227738 + ... + 2251286430.

Almost surely, 2^{132133032031212} is an apocalyptic number.

132133032031212 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 132133032031212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174491721286400).

132133032031212 is an abundant number, since it is smaller than the sum of its proper divisors (216850410541588).

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

132133032031212 is a wasteful number, since it uses less digits than its factorization.

132133032031212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59933 (or 59925 counting only the distinct ones).

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

Adding to 132133032031212 its reverse (212130230331231), we get a palindrome (344263262362443).

The spelling of 132133032031212 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, thirty-two million, thirty-one thousand, two hundred twelve".