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13036313 is a prime number
BaseRepresentation
bin110001101110…
…101100011001
3220112022110102
4301232230121
511314130223
61143225145
7215543513
oct61565431
926468412
1013036313
1173a4414
1244481b5
1329158c4
141a34bb3
151227928
hexc6eb19

13036313 has 2 divisors, whose sum is σ = 13036314. Its totient is φ = 13036312.

The previous prime is 13036307. The next prime is 13036327. The reversal of 13036313 is 31363031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12866569 + 169744 = 3587^2 + 412^2 .

It is a cyclic number.

It is not a de Polignac number, because 13036313 - 210 = 13035289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13036363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6518156 + 6518157.

It is an arithmetic number, because the mean of its divisors is an integer number (6518157).

Almost surely, 213036313 is an apocalyptic number.

It is an amenable number.

13036313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13036313 is an equidigital number, since it uses as much as digits as its factorization.

13036313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 13036313 is about 3610.5834708534. The cubic root of 13036313 is about 235.3521986141.

Adding to 13036313 its reverse (31363031), we get a palindrome (44399344).

The spelling of 13036313 in words is "thirteen million, thirty-six thousand, three hundred thirteen".