131290809286000 has 1440 divisors, whose sum is σ = 421174993075200. Its totient is φ = 38651145062400.

The previous prime is 131290809285983. The next prime is 131290809286009. The reversal of 131290809286000 is 682908092131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131290809286009) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 156484873581 + ... + 156484874419.

It is an arithmetic number, because the mean of its divisors is an integer number (292482634080).

Almost surely, 2^{131290809286000} is an apocalyptic number.

131290809286000 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 131290809286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210587496537600).

131290809286000 is an abundant number, since it is smaller than the sum of its proper divisors (289884183789200).

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

131290809286000 is a wasteful number, since it uses less digits than its factorization.

131290809286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 131290809286000 in words is "one hundred thirty-one trillion, two hundred ninety billion, eight hundred nine million, two hundred eighty-six thousand".