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13413313117 is a prime number
BaseRepresentation
bin11000111110111111…
…01110101001011101
31021121210111220110201
430133133232221131
5204432302004432
610054553503501
7653252165101
oct143737565135
937553456421
1013413313117
115763513746
122724111b91
131359bc4b89
149135d7901
15537894ee7
hex31f7eea5d

13413313117 has 2 divisors, whose sum is σ = 13413313118. Its totient is φ = 13413313116.

The previous prime is 13413313099. The next prime is 13413313183. The reversal of 13413313117 is 71131331431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7585364836 + 5827948281 = 87094^2 + 76341^2 .

It is an emirp because it is prime and its reverse (71131331431) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13413313117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13413313187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6706656558 + 6706656559.

It is an arithmetic number, because the mean of its divisors is an integer number (6706656559).

Almost surely, 213413313117 is an apocalyptic number.

It is an amenable number.

13413313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13413313117 is an equidigital number, since it uses as much as digits as its factorization.

13413313117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 28.

Adding to 13413313117 its reverse (71131331431), we get a palindrome (84544644548).

The spelling of 13413313117 in words is "thirteen billion, four hundred thirteen million, three hundred thirteen thousand, one hundred seventeen".