131311103220161 has 2 divisors, whose sum is σ = 131311103220162. Its totient is φ = 131311103220160.

The previous prime is 131311103220119. The next prime is 131311103220259. The reversal of 131311103220161 is 161022301113131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122648559251761 + 8662543968400 = 11074681^2 + 2943220^2 .

It is a cyclic number.

It is not a de Polignac number, because 131311103220161 - 2⁶ = 131311103220097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131311103220161.

It is not a weakly prime, because it can be changed into another prime (131311103220061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655551610080 + 65655551610081.

It is an arithmetic number, because the mean of its divisors is an integer number (65655551610081).

Almost surely, 2^{131311103220161} is an apocalyptic number.

It is an amenable number.

131311103220161 is a deficient number, since it is larger than the sum of its proper divisors (1).

131311103220161 is an equidigital number, since it uses as much as digits as its factorization.

131311103220161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

Adding to 131311103220161 its reverse (161022301113131), we get a palindrome (292333404333292).

The spelling of 131311103220161 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred three million, two hundred twenty thousand, one hundred sixty-one".