13101312230213 has 2 divisors, whose sum is σ = 13101312230214. Its totient is φ = 13101312230212.

The previous prime is 13101312230197. The next prime is 13101312230233. The reversal of 13101312230213 is 31203221310131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12695132898529 + 406179331684 = 3563023^2 + 637322^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101312230213 - 2⁴ = 13101312230197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13101312230233) 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, 6550656115106 + 6550656115107.

It is an arithmetic number, because the mean of its divisors is an integer number (6550656115107).

Almost surely, 2^{13101312230213} is an apocalyptic number.

It is an amenable number.

13101312230213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101312230213 is an equidigital number, since it uses as much as digits as its factorization.

13101312230213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13101312230213 its reverse (31203221310131), we get a palindrome (44304533540344).

The spelling of 13101312230213 in words is "thirteen trillion, one hundred one billion, three hundred twelve million, two hundred thirty thousand, two hundred thirteen".