12121314441413 has 2 divisors, whose sum is σ = 12121314441414. Its totient is φ = 12121314441412.

The previous prime is 12121314441391. The next prime is 12121314441451. The reversal of 12121314441413 is 31414441312121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9443372022049 + 2677942419364 = 3073007^2 + 1636442^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121314441413 - 2²⁶ = 12121247332549 is a prime.

It is a super-3 number, since 3×12121314441413³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12121314441413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121314441493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060657220706 + 6060657220707.

It is an arithmetic number, because the mean of its divisors is an integer number (6060657220707).

Almost surely, 2^{12121314441413} is an apocalyptic number.

It is an amenable number.

12121314441413 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121314441413 is an equidigital number, since it uses as much as digits as its factorization.

12121314441413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 32.

Adding to 12121314441413 its reverse (31414441312121), we get a palindrome (43535755753534).

The spelling of 12121314441413 in words is "twelve trillion, one hundred twenty-one billion, three hundred fourteen million, four hundred forty-one thousand, four hundred thirteen".