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13003310317 is a prime number
BaseRepresentation
bin11000001110000111…
…01100010011101101
31020120020000121100211
430013003230103231
5203112321412232
65550150022421
7640143212464
oct140703542355
936506017324
1013003310317
115573036558
12262a947a11
1312c2c9067a
148b4d8b9db
155118a7a47
hex3070ec4ed

13003310317 has 2 divisors, whose sum is σ = 13003310318. Its totient is φ = 13003310316.

The previous prime is 13003310213. The next prime is 13003310339. The reversal of 13003310317 is 71301330031.

13003310317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13003310339) can be obtained adding 13003310317 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12379010121 + 624300196 = 111261^2 + 24986^2 .

It is an emirp because it is prime and its reverse (71301330031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13003310317 - 231 = 10855826669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13003311317) 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, 6501655158 + 6501655159.

It is an arithmetic number, because the mean of its divisors is an integer number (6501655159).

Almost surely, 213003310317 is an apocalyptic number.

It is an amenable number.

13003310317 is a deficient number, since it is larger than the sum of its proper divisors (1).

13003310317 is an equidigital number, since it uses as much as digits as its factorization.

13003310317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 22.

Adding to 13003310317 its reverse (71301330031), we get a palindrome (84304640348).

The spelling of 13003310317 in words is "thirteen billion, three million, three hundred ten thousand, three hundred seventeen".