131424133233312 has 72 divisors (see below), whose sum is σ = 373744296496116. Its totient is φ = 43807233555456.

The previous prime is 131424133233299. The next prime is 131424133233329. The reversal of 131424133233312 is 213332331424131.

131424133233312 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 4 + 1 + 332 + 3 + 3 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129862343152656 + 1561790080656 = 11395716^2 + 1249716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×131424133233312² (a number of 29 digits) contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11464558 + ... + 19856594.

Almost surely, 2^{131424133233312} is an apocalyptic number.

131424133233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131424133233312 is an abundant number, since it is smaller than the sum of its proper divisors (242320163262804).

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

131424133233312 is a wasteful number, since it uses less digits than its factorization.

131424133233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8446430 (or 8446419 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 131424133233312 its reverse (213332331424131), we get a palindrome (344756464657443).

The spelling of 131424133233312 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, one hundred thirty-three million, two hundred thirty-three thousand, three hundred twelve".