13111110313121 has 2 divisors, whose sum is σ = 13111110313122. Its totient is φ = 13111110313120.

The previous prime is 13111110313079. The next prime is 13111110313141. The reversal of 13111110313121 is 12131301111131.

It is an a-pointer prime, because the next prime (13111110313141) can be obtained adding 13111110313121 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11785756775521 + 1325353537600 = 3433039^2 + 1151240^2 .

It is a cyclic number.

It is not a de Polignac number, because 13111110313121 - 2²⁶ = 13111043204257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13111110313093 and 13111110313102.

It is not a weakly prime, because it can be changed into another prime (13111110313141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555555156560 + 6555555156561.

It is an arithmetic number, because the mean of its divisors is an integer number (6555555156561).

Almost surely, 2^{13111110313121} is an apocalyptic number.

It is an amenable number.

13111110313121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13111110313121 is an equidigital number, since it uses as much as digits as its factorization.

13111110313121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 13111110313121 its reverse (12131301111131), we get a palindrome (25242411424252).

The spelling of 13111110313121 in words is "thirteen trillion, one hundred eleven billion, one hundred ten million, three hundred thirteen thousand, one hundred twenty-one".