131138996581008 has 240 divisors, whose sum is σ = 416076781673280. Its totient is φ = 38223407748096.

The previous prime is 131138996580901. The next prime is 131138996581037. The reversal of 131138996581008 is 800185699831131.

131138996581008 is a `hidden beast` number, since 1 + 3 + 11 + 38 + 9 + 9 + 6 + 581 + 0 + 0 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 421930110 + ... + 422240802.

It is an arithmetic number, because the mean of its divisors is an integer number (1733653256972).

Almost surely, 2^{131138996581008} is an apocalyptic number.

131138996581008 is a gapful number since it is divisible by the number (18) 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 131138996581008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208038390836640).

131138996581008 is an abundant number, since it is smaller than the sum of its proper divisors (284937785092272).

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

131138996581008 is a wasteful number, since it uses less digits than its factorization.

131138996581008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322606 (or 322597 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 131138996581008 in words is "one hundred thirty-one trillion, one hundred thirty-eight billion, nine hundred ninety-six million, five hundred eighty-one thousand, eight".