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13071354913 is a prime number
BaseRepresentation
bin11000010110001110…
…10000110000100001
31020201222001122000001
430023013100300201
5203232231324123
610001020300001
7641630453311
oct141307206041
936658048001
1013071354913
1155a8491461
1226496a1601
1313040c6146
148c0021441
155178490ad
hex30b1d0c21

13071354913 has 2 divisors, whose sum is σ = 13071354914. Its totient is φ = 13071354912.

The previous prime is 13071354899. The next prime is 13071354953. The reversal of 13071354913 is 31945317031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12780754704 + 290600209 = 113052^2 + 17047^2 .

It is an emirp because it is prime and its reverse (31945317031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13071354913 - 213 = 13071346721 is a prime.

It is not a weakly prime, because it can be changed into another prime (13071354953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6535677456 + 6535677457.

It is an arithmetic number, because the mean of its divisors is an integer number (6535677457).

Almost surely, 213071354913 is an apocalyptic number.

It is an amenable number.

13071354913 is a deficient number, since it is larger than the sum of its proper divisors (1).

13071354913 is an equidigital number, since it uses as much as digits as its factorization.

13071354913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 13071354913 in words is "thirteen billion, seventy-one million, three hundred fifty-four thousand, nine hundred thirteen".