131021440244200 has 288 divisors, whose sum is σ = 344458790648280. Its totient is φ = 46279157760000.

The previous prime is 131021440244197. The next prime is 131021440244353. The reversal of 131021440244200 is 2442044120131.

It can be written as a sum of positive squares in 12 ways, for example, as 81650777910724 + 49370662333476 = 9036082^2 + 7026426^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 538013664 + ... + 538257136.

Almost surely, 2^{131021440244200} is an apocalyptic number.

131021440244200 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 131021440244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172229395324140).

131021440244200 is an abundant number, since it is smaller than the sum of its proper divisors (213437350404080).

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

131021440244200 is a wasteful number, since it uses less digits than its factorization.

131021440244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244149 (or 244129 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 131021440244200 its reverse (2442044120131), we get a palindrome (133463484364331).

The spelling of 131021440244200 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred forty million, two hundred forty-four thousand, two hundred".