131072000000 has 168 divisors, whose sum is σ = 327675786165. Its totient is φ = 52428800000.

The previous prime is 131071999987. The next prime is 131072000047. The reversal of 131072000000 is 270131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 22351446016 + 108720553984 = 149504^2 + 329728^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=256000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 26214399998 + ... + 26214400002.

Almost surely, 2^131072000000 is an apocalyptic number.

131072000000 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 131072000000

131072000000 is an abundant number, since it is smaller than the sum of its proper divisors (196603786165).

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

131072000000 is an frugal number, since it uses more digits than its factorization.

131072000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

Adding to 131072000000 its reverse (270131), we get a palindrome (131072270131).

The spelling of 131072000000 in words is "one hundred thirty-one billion, seventy-two million", and thus it is an aban number.