13311112102121 has 2 divisors, whose sum is σ = 13311112102122. Its totient is φ = 13311112102120.

The previous prime is 13311112102109. The next prime is 13311112102147. The reversal of 13311112102121 is 12120121111331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13106572090000 + 204540012121 = 3620300^2 + 452261^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13311112102121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13311112102093 and 13311112102102.

It is not a weakly prime, because it can be changed into another prime (13311112002121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655556051060 + 6655556051061.

It is an arithmetic number, because the mean of its divisors is an integer number (6655556051061).

Almost surely, 2^{13311112102121} is an apocalyptic number.

It is an amenable number.

13311112102121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13311112102121 is an equidigital number, since it uses as much as digits as its factorization.

13311112102121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 13311112102121 its reverse (12120121111331), we get a palindrome (25431233213452).

The spelling of 13311112102121 in words is "thirteen trillion, three hundred eleven billion, one hundred twelve million, one hundred two thousand, one hundred twenty-one".