12131100332221 has 16 divisors (see below), whose sum is σ = 13094089268400. Its totient is φ = 11172375244800.

The previous prime is 12131100332201. The next prime is 12131100332279. The reversal of 12131100332221 is 12223300113121.

It can be written as a sum of positive squares in 8 ways, for example, as 84050707225 + 12047049624996 = 289915^2 + 3470886^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12131100332221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12131100332192 and 12131100332201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131100332201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129143371 + ... + 129237271.

It is an arithmetic number, because the mean of its divisors is an integer number (818380579275).

Almost surely, 2^{12131100332221} is an apocalyptic number.

It is an amenable number.

12131100332221 is a deficient number, since it is larger than the sum of its proper divisors (962988936179).

12131100332221 is a wasteful number, since it uses less digits than its factorization.

12131100332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116496.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12131100332221 its reverse (12223300113121), we get a palindrome (24354400445342).

The spelling of 12131100332221 in words is "twelve trillion, one hundred thirty-one billion, one hundred million, three hundred thirty-two thousand, two hundred twenty-one".