131042141013200 has 60 divisors (see below), whose sum is σ = 315244634530860. Its totient is φ = 52347613409280.

The previous prime is 131042141013151. The next prime is 131042141013209. The reversal of 131042141013200 is 2310141240131.

It can be written as a sum of positive squares in 6 ways, for example, as 36444337216 + 131005696675984 = 190904^2 + 11445772^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131042141013209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216081185 + ... + 216686784.

It is an arithmetic number, because the mean of its divisors is an integer number (5254077242181).

Almost surely, 2^{131042141013200} is an apocalyptic number.

131042141013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131042141013200 is an abundant number, since it is smaller than the sum of its proper divisors (184202493517660).

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

131042141013200 is a wasteful number, since it uses less digits than its factorization.

131042141013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432768744 (or 432768733 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 131042141013200 its reverse (2310141240131), we get a palindrome (133352282253331).

The spelling of 131042141013200 in words is "one hundred thirty-one trillion, forty-two billion, one hundred forty-one million, thirteen thousand, two hundred".