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13333313117 is a prime number
BaseRepresentation
bin11000110101011101…
…00011011001011101
31021102012222111002202
430122232203121131
5204301312004432
610043015101245
7651261201665
oct143256433135
937365874082
1013333313117
115722342543
122701371825
1313464647b7
14906b311a5
15530841462
hex31aba365d

13333313117 has 2 divisors, whose sum is σ = 13333313118. Its totient is φ = 13333313116.

The previous prime is 13333313089. The next prime is 13333313159. The reversal of 13333313117 is 71131333331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13171234756 + 162078361 = 114766^2 + 12731^2 .

It is a cyclic number.

It is not a de Polignac number, because 13333313117 - 212 = 13333309021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13333313117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13333313177) 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, 6666656558 + 6666656559.

It is an arithmetic number, because the mean of its divisors is an integer number (6666656559).

Almost surely, 213333313117 is an apocalyptic number.

It is an amenable number.

13333313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13333313117 is an equidigital number, since it uses as much as digits as its factorization.

13333313117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5103, while the sum is 29.

Adding to 13333313117 its reverse (71131333331), we get a palindrome (84464646448).

The spelling of 13333313117 in words is "thirteen billion, three hundred thirty-three million, three hundred thirteen thousand, one hundred seventeen".