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13000219 is a prime number
BaseRepresentation
bin110001100101…
…111000011011
3220110110221121
4301211320123
511312001334
61142350111
7215333341
oct61457033
926413847
1013000219
11737a291
12442b337
13290234b
141a25991
15121bdb4
hexc65e1b

13000219 has 2 divisors, whose sum is σ = 13000220. Its totient is φ = 13000218.

The previous prime is 13000217. The next prime is 13000243. The reversal of 13000219 is 91200031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13000219 - 21 = 13000217 is a prime.

It is a super-3 number, since 3×130002193 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 13000217, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13000213) 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, 6500109 + 6500110.

It is an arithmetic number, because the mean of its divisors is an integer number (6500110).

Almost surely, 213000219 is an apocalyptic number.

13000219 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000219 is an equidigital number, since it uses as much as digits as its factorization.

13000219 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.

The square root of 13000219 is about 3605.5816451718. The cubic root of 13000219 is about 235.1347891295.

The spelling of 13000219 in words is "thirteen million, two hundred nineteen", and thus it is an aban number.