13121340432121 has 2 divisors, whose sum is σ = 13121340432122. Its totient is φ = 13121340432120.

The previous prime is 13121340432041. The next prime is 13121340432149. The reversal of 13121340432121 is 12123404312131.

It is an a-pointer prime, because the next prime (13121340432149) can be obtained adding 13121340432121 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11064511184896 + 2056829247225 = 3326336^2 + 1434165^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121340432121 - 2¹³ = 13121340423929 is a prime.

It is a super-2 number, since 2×13121340432121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13121340432121.

It is not a weakly prime, because it can be changed into another prime (13121340432181) 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, 6560670216060 + 6560670216061.

It is an arithmetic number, because the mean of its divisors is an integer number (6560670216061).

Almost surely, 2^{13121340432121} is an apocalyptic number.

It is an amenable number.

13121340432121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121340432121 is an equidigital number, since it uses as much as digits as its factorization.

13121340432121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13121340432121 its reverse (12123404312131), we get a palindrome (25244744744252).

The spelling of 13121340432121 in words is "thirteen trillion, one hundred twenty-one billion, three hundred forty million, four hundred thirty-two thousand, one hundred twenty-one".