13121144033213 has 2 divisors, whose sum is σ = 13121144033214. Its totient is φ = 13121144033212.

The previous prime is 13121144033171. The next prime is 13121144033317. The reversal of 13121144033213 is 31233044112131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10592401632409 + 2528742400804 = 3254597^2 + 1590202^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121144033213 - 2⁸ = 13121144032957 is a prime.

It is a super-2 number, since 2×13121144033213² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121144030213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560572016606 + 6560572016607.

It is an arithmetic number, because the mean of its divisors is an integer number (6560572016607).

Almost surely, 2^{13121144033213} is an apocalyptic number.

It is an amenable number.

13121144033213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121144033213 is an equidigital number, since it uses as much as digits as its factorization.

13121144033213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 13121144033213 its reverse (31233044112131), we get a palindrome (44354188145344).

The spelling of 13121144033213 in words is "thirteen trillion, one hundred twenty-one billion, one hundred forty-four million, thirty-three thousand, two hundred thirteen".