13012321310221 has 2 divisors, whose sum is σ = 13012321310222. Its totient is φ = 13012321310220.

The previous prime is 13012321310147. The next prime is 13012321310231. The reversal of 13012321310221 is 12201312321031.

13012321310221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12551864065321 + 460457244900 = 3542861^2 + 678570^2 .

It is an emirp because it is prime and its reverse (12201312321031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13012321310221 - 2³⁵ = 12977961571853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13012321310192 and 13012321310201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13012321310231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506160655110 + 6506160655111.

It is an arithmetic number, because the mean of its divisors is an integer number (6506160655111).

Almost surely, 2^{13012321310221} is an apocalyptic number.

It is an amenable number.

13012321310221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13012321310221 is an equidigital number, since it uses as much as digits as its factorization.

13012321310221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13012321310221 its reverse (12201312321031), we get a palindrome (25213633631252).

The spelling of 13012321310221 in words is "thirteen trillion, twelve billion, three hundred twenty-one million, three hundred ten thousand, two hundred twenty-one".