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13731496813 is a prime number
BaseRepresentation
bin11001100100111011…
…00000001101101101
31022102222020022110001
430302131200031231
5211110230344223
610150321344301
7664164540256
oct146235401555
938388208401
1013731496813
115907087881
1227b2798091
1313aaabb458
14943981b2d
155557969ad
hex33276036d

13731496813 has 2 divisors, whose sum is σ = 13731496814. Its totient is φ = 13731496812.

The previous prime is 13731496811. The next prime is 13731496847. The reversal of 13731496813 is 31869413731.

13731496813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7610468644 + 6121028169 = 87238^2 + 78237^2 .

It is a cyclic number.

It is not a de Polignac number, because 13731496813 - 21 = 13731496811 is a prime.

Together with 13731496811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13731496811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6865748406 + 6865748407.

It is an arithmetic number, because the mean of its divisors is an integer number (6865748407).

Almost surely, 213731496813 is an apocalyptic number.

It is an amenable number.

13731496813 is a deficient number, since it is larger than the sum of its proper divisors (1).

13731496813 is an equidigital number, since it uses as much as digits as its factorization.

13731496813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 326592, while the sum is 46.

The spelling of 13731496813 in words is "thirteen billion, seven hundred thirty-one million, four hundred ninety-six thousand, eight hundred thirteen".