131193881280 has 1792 divisors, whose sum is σ = 619392614400. Its totient is φ = 25321144320.

The previous prime is 131193881267. The next prime is 131193881321. The reversal of 131193881280 is 82188391131.

131193881280 is a `hidden beast` number, since 131 + 19 + 388 + 128 + 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 (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1226110987 + ... + 1226111093.

It is an arithmetic number, because the mean of its divisors is an integer number (345643200).

Almost surely, 2^131193881280 is an apocalyptic number.

131193881280 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 131193881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309696307200).

131193881280 is an abundant number, since it is smaller than the sum of its proper divisors (488198733120).

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

131193881280 is a wasteful number, since it uses less digits than its factorization.

131193881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 131193881280 in words is "one hundred thirty-one billion, one hundred ninety-three million, eight hundred eighty-one thousand, two hundred eighty".