13001310121301 has 2 divisors, whose sum is σ = 13001310121302. Its totient is φ = 13001310121300.

The previous prime is 13001310121213. The next prime is 13001310121313. The reversal of 13001310121301 is 10312101310031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10276833062500 + 2724477058801 = 3205750^2 + 1650599^2 .

It is an emirp because it is prime and its reverse (10312101310031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13001310121301 - 2¹⁰ = 13001310120277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13001310121301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13001310121361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500655060650 + 6500655060651.

It is an arithmetic number, because the mean of its divisors is an integer number (6500655060651).

Almost surely, 2^{13001310121301} is an apocalyptic number.

It is an amenable number.

13001310121301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001310121301 is an equidigital number, since it uses as much as digits as its factorization.

13001310121301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 13001310121301 its reverse (10312101310031), we get a palindrome (23313411431332).

The spelling of 13001310121301 in words is "thirteen trillion, one billion, three hundred ten million, one hundred twenty-one thousand, three hundred one".