132114442431312 has 400 divisors, whose sum is σ = 418339799539200. Its totient is φ = 39919557991680.

The previous prime is 132114442431299. The next prime is 132114442431317. The reversal of 132114442431312 is 213134244411231.

132114442431312 is a `hidden beast` number, since 1 + 3 + 211 + 4 + 4 + 4 + 2 + 431 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114442431317) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 12385336603 + ... + 12385347269.

It is an arithmetic number, because the mean of its divisors is an integer number (1045849498848).

Almost surely, 2^{132114442431312} is an apocalyptic number.

132114442431312 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 132114442431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209169899769600).

132114442431312 is an abundant number, since it is smaller than the sum of its proper divisors (286225357107888).

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

132114442431312 is a wasteful number, since it uses less digits than its factorization.

132114442431312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13116 (or 13101 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 132114442431312 its reverse (213134244411231), we get a palindrome (345248686842543).

The spelling of 132114442431312 in words is "one hundred thirty-two trillion, one hundred fourteen billion, four hundred forty-two million, four hundred thirty-one thousand, three hundred twelve".