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13141314321209 is a prime number
BaseRepresentation
bin1011111100111011001101…
…0111110011101100111001
31201112022000210022211202222
42333032303113303230321
53210301402431234314
643541011512533425
72524300006456064
oct277166327635471
951468023284688
1013141314321209
114207222382908
121582a5b6b1275
137442b392aa69
143360860218db
1517bc80976c8e
hexbf3b35f3b39

13141314321209 has 2 divisors, whose sum is σ = 13141314321210. Its totient is φ = 13141314321208.

The previous prime is 13141314321203. The next prime is 13141314321227. The reversal of 13141314321209 is 90212341314131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13136710291600 + 4604029609 = 3624460^2 + 67853^2 .

It is a cyclic number.

It is not a de Polignac number, because 13141314321209 - 224 = 13141297543993 is a prime.

It is not a weakly prime, because it can be changed into another prime (13141314321203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6570657160604 + 6570657160605.

It is an arithmetic number, because the mean of its divisors is an integer number (6570657160605).

Almost surely, 213141314321209 is an apocalyptic number.

It is an amenable number.

13141314321209 is a deficient number, since it is larger than the sum of its proper divisors (1).

13141314321209 is an equidigital number, since it uses as much as digits as its factorization.

13141314321209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 13141314321209 in words is "thirteen trillion, one hundred forty-one billion, three hundred fourteen million, three hundred twenty-one thousand, two hundred nine".