131322461110272 has 480 divisors, whose sum is σ = 422783006822400. Its totient is φ = 40132421222400.

The previous prime is 131322461110259. The next prime is 131322461110273. The reversal of 131322461110272 is 272011164223131.

131322461110272 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 2 + 4 + 611 + 10 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131322461110273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260302747 + ... + 260806757.

It is an arithmetic number, because the mean of its divisors is an integer number (880797930880).

Almost surely, 2^{131322461110272} is an apocalyptic number.

131322461110272 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 131322461110272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211391503411200).

131322461110272 is an abundant number, since it is smaller than the sum of its proper divisors (291460545712128).

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

131322461110272 is an equidigital number, since it uses as much as digits as its factorization.

131322461110272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504098 (or 504066 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 131322461110272 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, four hundred sixty-one million, one hundred ten thousand, two hundred seventy-two".