131404304244200 has 144 divisors (see below), whose sum is σ = 330983093600100. Its totient is φ = 48495171379200.

The previous prime is 131404304244193. The next prime is 131404304244203. The reversal of 131404304244200 is 2442403404131.

It can be written as a sum of positive squares in 18 ways, for example, as 12581790714724 + 118822513529476 = 3547082^2 + 10900574^2 .

It is not an unprimeable number, because it can be changed into a prime (131404304244203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69403706 + ... + 71271894.

Almost surely, 2^{131404304244200} is an apocalyptic number.

131404304244200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404304244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165491546800050).

131404304244200 is an abundant number, since it is smaller than the sum of its proper divisors (199578789355900).

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

131404304244200 is a wasteful number, since it uses less digits than its factorization.

131404304244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870312 (or 1870290 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 131404304244200 its reverse (2442403404131), we get a palindrome (133846707648331).

The spelling of 131404304244200 in words is "one hundred thirty-one trillion, four hundred four billion, three hundred four million, two hundred forty-four thousand, two hundred".