13010004310241 has 2 divisors, whose sum is σ = 13010004310242. Its totient is φ = 13010004310240.

The previous prime is 13010004310231. The next prime is 13010004310249. The reversal of 13010004310241 is 14201340001031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12785423100241 + 224581210000 = 3575671^2 + 473900^2 .

It is a cyclic number.

It is not a de Polignac number, because 13010004310241 - 2³⁴ = 12992824441057 is a prime.

It is not a weakly prime, because it can be changed into another prime (13010004310249) 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, 6505002155120 + 6505002155121.

It is an arithmetic number, because the mean of its divisors is an integer number (6505002155121).

Almost surely, 2^{13010004310241} is an apocalyptic number.

It is an amenable number.

13010004310241 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010004310241 is an equidigital number, since it uses as much as digits as its factorization.

13010004310241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13010004310241 its reverse (14201340001031), we get a palindrome (27211344311272).

The spelling of 13010004310241 in words is "thirteen trillion, ten billion, four million, three hundred ten thousand, two hundred forty-one".