131091913941120 has 768 divisors, whose sum is σ = 522983013696000. Its totient is φ = 29904446423040.

The previous prime is 131091913941113. The next prime is 131091913941151. The reversal of 131091913941120 is 21149319190131.

131091913941120 is a `hidden beast` number, since 1 + 3 + 10 + 9 + 191 + 39 + 411 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 7495669336 + ... + 7495686824.

It is an arithmetic number, because the mean of its divisors is an integer number (680967465750).

Almost surely, 2^{131091913941120} is an apocalyptic number.

131091913941120 is a gapful number since it is divisible by the number (10) 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 131091913941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261491506848000).

131091913941120 is an abundant number, since it is smaller than the sum of its proper divisors (391891099754880).

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

131091913941120 is a wasteful number, since it uses less digits than its factorization.

131091913941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24501 (or 24486 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 131091913941120 in words is "one hundred thirty-one trillion, ninety-one billion, nine hundred thirteen million, nine hundred forty-one thousand, one hundred twenty".