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13321363457 is a prime number
BaseRepresentation
bin11000110100000001…
…11110000000000001
31021101101111101020202
430122000332000001
5204240232112312
610041511014545
7651054502223
oct143200760001
937341441222
1013321363457
115716620596
1226b936a455
131343b3c6ac
14905300413
1552e7809c2
hex31a03e001

13321363457 has 2 divisors, whose sum is σ = 13321363458. Its totient is φ = 13321363456.

The previous prime is 13321363409. The next prime is 13321363477. The reversal of 13321363457 is 75436312331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10590673921 + 2730689536 = 102911^2 + 52256^2 .

It is an emirp because it is prime and its reverse (75436312331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13321363457 - 220 = 13320314881 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13321363457.

It is not a weakly prime, because it can be changed into another prime (13321363477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660681728 + 6660681729.

It is an arithmetic number, because the mean of its divisors is an integer number (6660681729).

Almost surely, 213321363457 is an apocalyptic number.

It is an amenable number.

13321363457 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321363457 is an equidigital number, since it uses as much as digits as its factorization.

13321363457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 136080, while the sum is 38.

Adding to 13321363457 its reverse (75436312331), we get a palindrome (88757675788).

The spelling of 13321363457 in words is "thirteen billion, three hundred twenty-one million, three hundred sixty-three thousand, four hundred fifty-seven".