213123031320013 has 2 divisors, whose sum is σ = 213123031320014. Its totient is φ = 213123031320012.

The previous prime is 213123031320011. The next prime is 213123031320029. The reversal of 213123031320013 is 310023130321312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192423561509124 + 20699469810889 = 13871682^2 + 4549667^2 .

It is a cyclic number.

It is not a de Polignac number, because 213123031320013 - 2¹ = 213123031320011 is a prime.

Together with 213123031320011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 213123031320013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213123031320011) 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, 106561515660006 + 106561515660007.

It is an arithmetic number, because the mean of its divisors is an integer number (106561515660007).

Almost surely, 2^{213123031320013} is an apocalyptic number.

It is an amenable number.

213123031320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213123031320013 is an equidigital number, since it uses as much as digits as its factorization.

213123031320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 213123031320013 its reverse (310023130321312), we get a palindrome (523146161641325).

The spelling of 213123031320013 in words is "two hundred thirteen trillion, one hundred twenty-three billion, thirty-one million, three hundred twenty thousand, thirteen".