132113414412 has 108 divisors (see below), whose sum is σ = 384125479920. Its totient is φ = 37504501632.

The previous prime is 132113414383. The next prime is 132113414413. The reversal of 132113414412 is 214414311231.

It is a happy number.

132113414412 is a `hidden beast` number, since 1 + 3 + 211 + 3 + 4 + 1 + 441 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132113414413) 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 35 ways as a sum of consecutive naturals, for example, 6200914 + ... + 6222182.

Almost surely, 2^132113414412 is an apocalyptic number.

132113414412 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 132113414412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192062739960).

132113414412 is an abundant number, since it is smaller than the sum of its proper divisors (252012065508).

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

132113414412 is a wasteful number, since it uses less digits than its factorization.

132113414412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600 (or 21438 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 132113414412 its reverse (214414311231), we get a palindrome (346527725643).

The spelling of 132113414412 in words is "one hundred thirty-two billion, one hundred thirteen million, four hundred fourteen thousand, four hundred twelve".