131303111301113 has 2 divisors, whose sum is σ = 131303111301114. Its totient is φ = 131303111301112.

The previous prime is 131303111301091. The next prime is 131303111301169. The reversal of 131303111301113 is 311103111303131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113840641569769 + 17462469731344 = 10669613^2 + 4178812^2 .

It is a cyclic number.

It is not a de Polignac number, because 131303111301113 - 2¹⁶ = 131303111235577 is a prime.

It is not a weakly prime, because it can be changed into another prime (131303111301913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65651555650556 + 65651555650557.

It is an arithmetic number, because the mean of its divisors is an integer number (65651555650557).

Almost surely, 2^{131303111301113} is an apocalyptic number.

It is an amenable number.

131303111301113 is a deficient number, since it is larger than the sum of its proper divisors (1).

131303111301113 is an equidigital number, since it uses as much as digits as its factorization.

131303111301113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 23.

Adding to 131303111301113 its reverse (311103111303131), we get a palindrome (442406222604244).

The spelling of 131303111301113 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred eleven million, three hundred one thousand, one hundred thirteen".