131311103220301 has 2 divisors, whose sum is σ = 131311103220302. Its totient is φ = 131311103220300.

The previous prime is 131311103220259. The next prime is 131311103220331. The reversal of 131311103220301 is 103022301113131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79549898855625 + 51761204364676 = 8919075^2 + 7194526^2 .

It is an emirp because it is prime and its reverse (103022301113131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131311103220301 - 2¹⁵ = 131311103187533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131311103220331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655551610150 + 65655551610151.

It is an arithmetic number, because the mean of its divisors is an integer number (65655551610151).

Almost surely, 2^{131311103220301} is an apocalyptic number.

It is an amenable number.

131311103220301 is a deficient number, since it is larger than the sum of its proper divisors (1).

131311103220301 is an equidigital number, since it uses as much as digits as its factorization.

131311103220301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 131311103220301 its reverse (103022301113131), we get a palindrome (234333404333432).

The spelling of 131311103220301 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred three million, two hundred twenty thousand, three hundred one".