131312214432 has 144 divisors (see below), whose sum is σ = 426962914560. Its totient is φ = 37500350976.

The previous prime is 131312214421. The next prime is 131312214463. The reversal of 131312214432 is 234412213131.

131312214432 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 221 + 4 + 432 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 131312214396 and 131312214405.

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, 4689369 + ... + 4717287.

It is an arithmetic number, because the mean of its divisors is an integer number (2965020240).

Almost surely, 2^131312214432 is an apocalyptic number.

131312214432 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 131312214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213481457280).

131312214432 is an abundant number, since it is smaller than the sum of its proper divisors (295650700128).

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

131312214432 is a wasteful number, since it uses less digits than its factorization.

131312214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30275 (or 30264 counting only the distinct ones).

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

Adding to 131312214432 its reverse (234412213131), we get a palindrome (365724427563).

It can be divided in two parts, 131312 and 214432, that added together give a square (345744 = 588²).

The spelling of 131312214432 in words is "one hundred thirty-one billion, three hundred twelve million, two hundred fourteen thousand, four hundred thirty-two".