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13071193099729 is a prime number
BaseRepresentation
bin1011111000110101111111…
…0100100100110111010001
31201021121000220212201021221
42332031133310210313101
53203124300413142404
643444453451445041
72516235231100042
oct276153764446721
951247026781257
1013071193099729
11418a5098152a6
121571350156781
1373a7ba34c52b
143329132928c9
1517a0298bd954
hexbe35fd24dd1

13071193099729 has 2 divisors, whose sum is σ = 13071193099730. Its totient is φ = 13071193099728.

The previous prime is 13071193099687. The next prime is 13071193099793. The reversal of 13071193099729 is 92799039117031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11947703337025 + 1123489762704 = 3456545^2 + 1059948^2 .

It is a cyclic number.

It is not a de Polignac number, because 13071193099729 - 211 = 13071193097681 is a prime.

It is not a weakly prime, because it can be changed into another prime (13071193099229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6535596549864 + 6535596549865.

It is an arithmetic number, because the mean of its divisors is an integer number (6535596549865).

Almost surely, 213071193099729 is an apocalyptic number.

It is an amenable number.

13071193099729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13071193099729 is an equidigital number, since it uses as much as digits as its factorization.

13071193099729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5786802, while the sum is 61.

The spelling of 13071193099729 in words is "thirteen trillion, seventy-one billion, one hundred ninety-three million, ninety-nine thousand, seven hundred twenty-nine".