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13201344522857 is a prime number
BaseRepresentation
bin1100000000011010110101…
…1100110110101001101001
31201202000222101202001101202
43000012231130312221221
53212242323144212412
644024340340253545
72531523423662201
oct300065534665151
951660871661352
1013201344522857
11422a727908907
1215926136a12b5
13749b5c70093a
14338d3c8d7401
1517d5e5b933c2
hexc01ad736a69

13201344522857 has 2 divisors, whose sum is σ = 13201344522858. Its totient is φ = 13201344522856.

The previous prime is 13201344522851. The next prime is 13201344522859. The reversal of 13201344522857 is 75822544310231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12652220544016 + 549123978841 = 3556996^2 + 741029^2 .

It is an emirp because it is prime and its reverse (75822544310231) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13201344522857 - 232 = 13197049555561 is a prime.

It is a super-2 number, since 2×132013445228572 (a number of 27 digits) contains 22 as substring.

Together with 13201344522859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13201344522851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6600672261428 + 6600672261429.

It is an arithmetic number, because the mean of its divisors is an integer number (6600672261429).

Almost surely, 213201344522857 is an apocalyptic number.

It is an amenable number.

13201344522857 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201344522857 is an equidigital number, since it uses as much as digits as its factorization.

13201344522857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 13201344522857 in words is "thirteen trillion, two hundred one billion, three hundred forty-four million, five hundred twenty-two thousand, eight hundred fifty-seven".