131082597000 has 768 divisors, whose sum is σ = 490337452800. Its totient is φ = 32384102400.

The previous prime is 131082596987. The next prime is 131082597049. The reversal of 131082597000 is 795280131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 834920922 + ... + 834921078.

It is an arithmetic number, because the mean of its divisors is an integer number (638460225).

Almost surely, 2^131082597000 is an apocalyptic number.

131082597000 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 131082597000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245168726400).

131082597000 is an abundant number, since it is smaller than the sum of its proper divisors (359254855800).

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

131082597000 is a wasteful number, since it uses less digits than its factorization.

131082597000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 131082597000 in words is "one hundred thirty-one billion, eighty-two million, five hundred ninety-seven thousand".