13133303013101 has 2 divisors, whose sum is σ = 13133303013102. Its totient is φ = 13133303013100.

The previous prime is 13133303013041. The next prime is 13133303013113. The reversal of 13133303013101 is 10131030333131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8343004757476 + 4790298255625 = 2888426^2 + 2188675^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133303013101 - 2¹⁰ = 13133303012077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13133303013191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566651506550 + 6566651506551.

It is an arithmetic number, because the mean of its divisors is an integer number (6566651506551).

Almost surely, 2^{13133303013101} is an apocalyptic number.

It is an amenable number.

13133303013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133303013101 is an equidigital number, since it uses as much as digits as its factorization.

13133303013101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 13133303013101 its reverse (10131030333131), we get a palindrome (23264333346232).

The spelling of 13133303013101 in words is "thirteen trillion, one hundred thirty-three billion, three hundred three million, thirteen thousand, one hundred one".