13210223223313 has 2 divisors, whose sum is σ = 13210223223314. Its totient is φ = 13210223223312.

The previous prime is 13210223223289. The next prime is 13210223223319. The reversal of 13210223223313 is 31332232201231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12881330149249 + 328893074064 = 3589057^2 + 573492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13210223223313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13210223223319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605111611656 + 6605111611657.

It is an arithmetic number, because the mean of its divisors is an integer number (6605111611657).

Almost surely, 2^{13210223223313} is an apocalyptic number.

It is an amenable number.

13210223223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13210223223313 is an equidigital number, since it uses as much as digits as its factorization.

13210223223313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13210223223313 its reverse (31332232201231), we get a palindrome (44542455424544).

The spelling of 13210223223313 in words is "thirteen trillion, two hundred ten billion, two hundred twenty-three million, two hundred twenty-three thousand, three hundred thirteen".