11003331013 has 2 divisors, whose sum is σ = 11003331014. Its totient is φ = 11003331012.

The previous prime is 11003331011. The next prime is 11003331023. The reversal of 11003331013 is 31013330011.

11003331013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6267413889 + 4735917124 = 79167^2 + 68818^2 .

It is an emirp because it is prime and its reverse (31013330011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11003331013 - 2¹ = 11003331011 is a prime.

Together with 11003331011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11003331011) 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, 5501665506 + 5501665507.

It is an arithmetic number, because the mean of its divisors is an integer number (5501665507).

Almost surely, 2^11003331013 is an apocalyptic number.

It is an amenable number.

11003331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11003331013 is an equidigital number, since it uses as much as digits as its factorization.

11003331013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 11003331013 its reverse (31013330011), we get a palindrome (42016661024).

The spelling of 11003331013 in words is "eleven billion, three million, three hundred thirty-one thousand, thirteen".