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13035033329 is a prime number
BaseRepresentation
bin11000010001111001…
…01101001011110001
31020122102201022011012
430020330231023301
5203143432031304
65553242000305
7641006645423
oct141074551361
936572638135
1013035033329
115589a3351a
1226394a6095
1312c9719996
148b9288813
1551457216e
hex308f2d2f1

13035033329 has 2 divisors, whose sum is σ = 13035033330. Its totient is φ = 13035033328.

The previous prime is 13035033313. The next prime is 13035033383. The reversal of 13035033329 is 92333053031.

13035033329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8816271025 + 4218762304 = 93895^2 + 64952^2 .

It is an emirp because it is prime and its reverse (92333053031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13035033329 - 24 = 13035033313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13035033295 and 13035033304.

It is not a weakly prime, because it can be changed into another prime (13035033229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6517516664 + 6517516665.

It is an arithmetic number, because the mean of its divisors is an integer number (6517516665).

Almost surely, 213035033329 is an apocalyptic number.

It is an amenable number.

13035033329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13035033329 is an equidigital number, since it uses as much as digits as its factorization.

13035033329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21870, while the sum is 32.

The spelling of 13035033329 in words is "thirteen billion, thirty-five million, thirty-three thousand, three hundred twenty-nine".