13013003212241 has 2 divisors, whose sum is σ = 13013003212242. Its totient is φ = 13013003212240.

The previous prime is 13013003212207. The next prime is 13013003212249. The reversal of 13013003212241 is 14221230031031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12591646437841 + 421356774400 = 3548471^2 + 649120^2 .

It is an emirp because it is prime and its reverse (14221230031031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13013003212241 - 2¹⁰ = 13013003211217 is a prime.

It is not a weakly prime, because it can be changed into another prime (13013003212249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506501606120 + 6506501606121.

It is an arithmetic number, because the mean of its divisors is an integer number (6506501606121).

Almost surely, 2^{13013003212241} is an apocalyptic number.

It is an amenable number.

13013003212241 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013003212241 is an equidigital number, since it uses as much as digits as its factorization.

13013003212241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13013003212241 its reverse (14221230031031), we get a palindrome (27234233243272).

The spelling of 13013003212241 in words is "thirteen trillion, thirteen billion, three million, two hundred twelve thousand, two hundred forty-one".