13105350220201 has 2 divisors, whose sum is σ = 13105350220202. Its totient is φ = 13105350220200.

The previous prime is 13105350220181. The next prime is 13105350220217. The reversal of 13105350220201 is 10202205350131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11662901179801 + 1442449040400 = 3415099^2 + 1201020^2 .

It is an emirp because it is prime and its reverse (10202205350131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13105350220201 - 2⁴¹ = 10906326964649 is a prime.

It is not a weakly prime, because it can be changed into another prime (13105350226201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552675110100 + 6552675110101.

It is an arithmetic number, because the mean of its divisors is an integer number (6552675110101).

Almost surely, 2^{13105350220201} is an apocalyptic number.

It is an amenable number.

13105350220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105350220201 is an equidigital number, since it uses as much as digits as its factorization.

13105350220201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 13105350220201 its reverse (10202205350131), we get a palindrome (23307555570332).

The spelling of 13105350220201 in words is "thirteen trillion, one hundred five billion, three hundred fifty million, two hundred twenty thousand, two hundred one".