131131244242000 has 80 divisors (see below), whose sum is σ = 319984297261200. Its totient is φ = 51971282035200.

The previous prime is 131131244241941. The next prime is 131131244242043. The reversal of 131131244242000 is 242442131131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10166353694784 + 120964890547216 = 3188472^2 + 10998404^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 131131244242000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300541735 + ... + 300977734.

It is an arithmetic number, because the mean of its divisors is an integer number (3999803715765).

Almost surely, 2^{131131244242000} is an apocalyptic number.

131131244242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131131244242000 is an abundant number, since it is smaller than the sum of its proper divisors (188853053019200).

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

131131244242000 is a wasteful number, since it uses less digits than its factorization.

131131244242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601519601 (or 601519585 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 131131244242000 its reverse (242442131131), we get a palindrome (131373686373131).

The spelling of 131131244242000 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, two hundred forty-four million, two hundred forty-two thousand".