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13135278713 is a prime number
BaseRepresentation
bin11000011101110110…
…00111001001111001
31020220102100021222012
430032323013021321
5203400112404323
610011222335305
7643335012134
oct141673071171
936812307865
1013135278713
115630582347
122666b8a535
13131441808b
148c870121b
1551d274678
hex30eec7279

13135278713 has 2 divisors, whose sum is σ = 13135278714. Its totient is φ = 13135278712.

The previous prime is 13135278707. The next prime is 13135278731. The reversal of 13135278713 is 31787253131.

Together with next prime (13135278731) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12079548649 + 1055730064 = 109907^2 + 32492^2 .

It is a cyclic number.

It is not a de Polignac number, because 13135278713 - 24 = 13135278697 is a prime.

It is not a weakly prime, because it can be changed into another prime (13135278703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6567639356 + 6567639357.

It is an arithmetic number, because the mean of its divisors is an integer number (6567639357).

Almost surely, 213135278713 is an apocalyptic number.

It is an amenable number.

13135278713 is a deficient number, since it is larger than the sum of its proper divisors (1).

13135278713 is an equidigital number, since it uses as much as digits as its factorization.

13135278713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 41.

The spelling of 13135278713 in words is "thirteen billion, one hundred thirty-five million, two hundred seventy-eight thousand, seven hundred thirteen".