13022113241 has 2 divisors, whose sum is σ = 13022113242. Its totient is φ = 13022113240.

The previous prime is 13022113213. The next prime is 13022113243. The reversal of 13022113241 is 14231122031.

13022113241 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., 7892545600 + 5129567641 = 88840^2 + 71621^2 .

It is a cyclic number.

It is not a de Polignac number, because 13022113241 - 2³⁰ = 11948371417 is a prime.

It is a super-2 number, since 2×13022113241² (a number of 21 digits) contains 22 as substring.

Together with 13022113243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13022113243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511056620 + 6511056621.

It is an arithmetic number, because the mean of its divisors is an integer number (6511056621).

Almost surely, 2^13022113241 is an apocalyptic number.

It is an amenable number.

13022113241 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022113241 is an equidigital number, since it uses as much as digits as its factorization.

13022113241 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 13022113241 its reverse (14231122031), we get a palindrome (27253235272).

The spelling of 13022113241 in words is "thirteen billion, twenty-two million, one hundred thirteen thousand, two hundred forty-one".