13310013121 has 2 divisors, whose sum is σ = 13310013122. Its totient is φ = 13310013120.

The previous prime is 13310013097. The next prime is 13310013139. The reversal of 13310013121 is 12131001331.

13310013121 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., 13147832896 + 162180225 = 114664^2 + 12735^2 .

It is a cyclic number.

It is not a de Polignac number, because 13310013121 - 2⁵ = 13310013089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13310013095 and 13310013104.

It is not a weakly prime, because it can be changed into another prime (13310013161) 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, 6655006560 + 6655006561.

It is an arithmetic number, because the mean of its divisors is an integer number (6655006561).

Almost surely, 2^13310013121 is an apocalyptic number.

It is an amenable number.

13310013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310013121 is an equidigital number, since it uses as much as digits as its factorization.

13310013121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13310013121 its reverse (12131001331), we get a palindrome (25441014452).

The spelling of 13310013121 in words is "thirteen billion, three hundred ten million, thirteen thousand, one hundred twenty-one".