12310001230013 has 2 divisors, whose sum is σ = 12310001230014. Its totient is φ = 12310001230012.

The previous prime is 12310001229991. The next prime is 12310001230171. The reversal of 12310001230013 is 31003210001321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12305797393444 + 4203836569 = 3507962^2 + 64837^2 .

It is a cyclic number.

It is not a de Polignac number, because 12310001230013 - 2¹⁶ = 12310001164477 is a prime.

It is a super-2 number, since 2×12310001230013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12310001229973 and 12310001230000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12310001235013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6155000615006 + 6155000615007.

It is an arithmetic number, because the mean of its divisors is an integer number (6155000615007).

Almost surely, 2^{12310001230013} is an apocalyptic number.

It is an amenable number.

12310001230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12310001230013 is an equidigital number, since it uses as much as digits as its factorization.

12310001230013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12310001230013 its reverse (31003210001321), we get a palindrome (43313211231334).

The spelling of 12310001230013 in words is "twelve trillion, three hundred ten billion, one million, two hundred thirty thousand, thirteen".