131129065345600 has 189 divisors, whose sum is σ = 375347729220363. Its totient is φ = 44957437378560.

The previous prime is 131129065345529. The next prime is 131129065345643. The reversal of 131129065345600 is 6543560921131.

The square root of 131129065345600 is 11451160.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10405579189824 + 120723486155776 = 3225768^2 + 10987424^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3206304352 + ... + 3206345248.

Almost surely, 2^{131129065345600} is an apocalyptic number.

131129065345600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131129065345600 is the 11451160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131129065345600

131129065345600 is an abundant number, since it is smaller than the sum of its proper divisors (244218663874763).

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

131129065345600 is an frugal number, since it uses more digits than its factorization.

131129065345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81830 (or 40911 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 131129065345600 in words is "one hundred thirty-one trillion, one hundred twenty-nine billion, sixty-five million, three hundred forty-five thousand, six hundred".