13331122113241 has 2 divisors, whose sum is σ = 13331122113242. Its totient is φ = 13331122113240.

The previous prime is 13331122113227. The next prime is 13331122113349. The reversal of 13331122113241 is 14231122113331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10777530897225 + 2553591216016 = 3282915^2 + 1597996^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331122113241 - 2⁵ = 13331122113209 is a prime.

It is not a weakly prime, because it can be changed into another prime (13331122113941) 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, 6665561056620 + 6665561056621.

It is an arithmetic number, because the mean of its divisors is an integer number (6665561056621).

Almost surely, 2^{13331122113241} is an apocalyptic number.

It is an amenable number.

13331122113241 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331122113241 is an equidigital number, since it uses as much as digits as its factorization.

13331122113241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

Adding to 13331122113241 its reverse (14231122113331), we get a palindrome (27562244226572).

The spelling of 13331122113241 in words is "thirteen trillion, three hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred forty-one".