13140123122213 has 2 divisors, whose sum is σ = 13140123122214. Its totient is φ = 13140123122212.

The previous prime is 13140123122197. The next prime is 13140123122227. The reversal of 13140123122213 is 31222132104131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10667030345764 + 2473092776449 = 3266042^2 + 1572607^2 .

It is a cyclic number.

It is not a de Polignac number, because 13140123122213 - 2⁴ = 13140123122197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13140123122513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6570061561106 + 6570061561107.

It is an arithmetic number, because the mean of its divisors is an integer number (6570061561107).

Almost surely, 2^{13140123122213} is an apocalyptic number.

It is an amenable number.

13140123122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13140123122213 is an equidigital number, since it uses as much as digits as its factorization.

13140123122213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13140123122213 its reverse (31222132104131), we get a palindrome (44362255226344).

The spelling of 13140123122213 in words is "thirteen trillion, one hundred forty billion, one hundred twenty-three million, one hundred twenty-two thousand, two hundred thirteen".