13105332301121 has 2 divisors, whose sum is σ = 13105332301122. Its totient is φ = 13105332301120.

The previous prime is 13105332301111. The next prime is 13105332301129. The reversal of 13105332301121 is 12110323350131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8383572793600 + 4721759507521 = 2895440^2 + 2172961^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13105332301121 is a prime.

It is not a weakly prime, because it can be changed into another prime (13105332301129) 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, 6552666150560 + 6552666150561.

It is an arithmetic number, because the mean of its divisors is an integer number (6552666150561).

Almost surely, 2^{13105332301121} is an apocalyptic number.

It is an amenable number.

13105332301121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105332301121 is an equidigital number, since it uses as much as digits as its factorization.

13105332301121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 13105332301121 its reverse (12110323350131), we get a palindrome (25215655651252).

The spelling of 13105332301121 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, three hundred one thousand, one hundred twenty-one".