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13713663013 is a prime number
BaseRepresentation
bin11001100010110010…
…11110010000100101
31022101201200021001221
430301121132100211
5211041144204023
610144443220341
7663560132551
oct146131362045
938351607057
1013713663013
1158a8006aa6
1227a88176b1
1313a71b5ccb
1494145c861
15553e2285d
hex33165e425

13713663013 has 2 divisors, whose sum is σ = 13713663014. Its totient is φ = 13713663012.

The previous prime is 13713663011. The next prime is 13713663023. The reversal of 13713663013 is 31036631731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8323460289 + 5390202724 = 91233^2 + 73418^2 .

It is a cyclic number.

It is not a de Polignac number, because 13713663013 - 21 = 13713663011 is a prime.

Together with 13713663011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13713663013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13713663011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6856831506 + 6856831507.

It is an arithmetic number, because the mean of its divisors is an integer number (6856831507).

Almost surely, 213713663013 is an apocalyptic number.

It is an amenable number.

13713663013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13713663013 is an equidigital number, since it uses as much as digits as its factorization.

13713663013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20412, while the sum is 34.

The spelling of 13713663013 in words is "thirteen billion, seven hundred thirteen million, six hundred sixty-three thousand, thirteen".