131021286000 has 320 divisors, whose sum is σ = 465145514496. Its totient is φ = 31464192000.

The previous prime is 131021285959. The next prime is 131021286029. The reversal of 131021286000 is 682120131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7052724 + ... + 7071276.

Almost surely, 2^131021286000 is an apocalyptic number.

131021286000 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 131021286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232572757248).

131021286000 is an abundant number, since it is smaller than the sum of its proper divisors (334124228496).

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

131021286000 is a wasteful number, since it uses less digits than its factorization.

131021286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18697 (or 18681 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 131021286000 in words is "one hundred thirty-one billion, twenty-one million, two hundred eighty-six thousand".