132300214401312 has 144 divisors (see below), whose sum is σ = 386338654977912. Its totient is φ = 42929932124160.

The previous prime is 132300214401307. The next prime is 132300214401337. The reversal of 132300214401312 is 213104412003231.

132300214401312 is a `hidden beast` number, since 1 + 3 + 2 + 30 + 0 + 214 + 401 + 3 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48800898663696 + 83499315737616 = 6985764^2 + 9137796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37114203 + ... + 40522394.

Almost surely, 2^{132300214401312} is an apocalyptic number.

132300214401312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132300214401312 is an abundant number, since it is smaller than the sum of its proper divisors (254038440576600).

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

132300214401312 is a wasteful number, since it uses less digits than its factorization.

132300214401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77636771 (or 77636760 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132300214401312 its reverse (213104412003231), we get a palindrome (345404626404543).

The spelling of 132300214401312 in words is "one hundred thirty-two trillion, three hundred billion, two hundred fourteen million, four hundred one thousand, three hundred twelve".