131044000000 has 189 divisors, whose sum is σ = 328782373563. Its totient is φ = 52128000000.

The previous prime is 131043999997. The next prime is 131044000001. The reversal of 131044000000 is 440131.

The square root of 131044000000 is 362000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 26337394944 + 104706605056 = 162288^2 + 323584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131044000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 723999910 + ... + 724000090.

Almost surely, 2^131044000000 is an apocalyptic number.

131044000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131044000000 is the 362000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131044000000

131044000000 is an abundant number, since it is smaller than the sum of its proper divisors (197738373563).

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

131044000000 is an frugal number, since it uses more digits than its factorization.

131044000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 131044000000 its reverse (440131), we get a palindrome (131044440131).

It can be divided in two parts, 13104 and 4000000, that added together give a palindrome (4013104).

The spelling of 131044000000 in words is "one hundred thirty-one billion, forty-four million", and thus it is an aban number.