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13331312117 is a prime number
BaseRepresentation
bin11000110101001101…
…11010110111110101
31021102002012211020122
430122212322313311
5204300303441432
610042504141325
7651235166114
oct143246726765
937362184218
1013331312117
1157211a6122
122700767845
131345c13a86
1490676dc7b
15530598612
hex31a9badf5

13331312117 has 2 divisors, whose sum is σ = 13331312118. Its totient is φ = 13331312116.

The previous prime is 13331312107. The next prime is 13331312129. The reversal of 13331312117 is 71121313331.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10846389316 + 2484922801 = 104146^2 + 49849^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331312117 - 24 = 13331312101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331312107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665656058 + 6665656059.

It is an arithmetic number, because the mean of its divisors is an integer number (6665656059).

Almost surely, 213331312117 is an apocalyptic number.

It is an amenable number.

13331312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331312117 is an equidigital number, since it uses as much as digits as its factorization.

13331312117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 26.

Adding to 13331312117 its reverse (71121313331), we get a palindrome (84452625448).

The spelling of 13331312117 in words is "thirteen billion, three hundred thirty-one million, three hundred twelve thousand, one hundred seventeen".