131041135182400 has 189 divisors, whose sum is σ = 329503667081899. Its totient is φ = 51292785141760.

The previous prime is 131041135182389. The next prime is 131041135182409. The reversal of 131041135182400 is 4281531140131.

The square root of 131041135182400 is 11447320.

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 23065427811904 + 107975707370496 = 4802648^2 + 10391136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131041135182409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21520958556 + ... + 21520964644.

Almost surely, 2^{131041135182400} is an apocalyptic number.

131041135182400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131041135182400 is the 11447320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131041135182400

131041135182400 is an abundant number, since it is smaller than the sum of its proper divisors (198462531899499).

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

131041135182400 is an frugal number, since it uses more digits than its factorization.

131041135182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12294 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 131041135182400 in words is "one hundred thirty-one trillion, forty-one billion, one hundred thirty-five million, one hundred eighty-two thousand, four hundred".