131141213032032 has 216 divisors, whose sum is σ = 448779121736400. Its totient is φ = 36176886240768.

The previous prime is 131141213031991. The next prime is 131141213032099. The reversal of 131141213032032 is 230230312141131.

131141213032032 is a `hidden beast` number, since 1 + 3 + 11 + 412 + 1 + 30 + 3 + 203 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131141213031987 and 131141213032005.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 159812932 + ... + 160631427.

It is an arithmetic number, because the mean of its divisors is an integer number (2077681119150).

Almost surely, 2^{131141213032032} is an apocalyptic number.

131141213032032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131141213032032 is an abundant number, since it is smaller than the sum of its proper divisors (317637908704368).

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

131141213032032 is a wasteful number, since it uses less digits than its factorization.

131141213032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320444418 (or 320444400 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131141213032032 its reverse (230230312141131), we get a palindrome (361371525173163).

The spelling of 131141213032032 in words is "one hundred thirty-one trillion, one hundred forty-one billion, two hundred thirteen million, thirty-two thousand, thirty-two".