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13331222003329 is a prime number
BaseRepresentation
bin1100000111111110101011…
…0000000111111010000001
31202012110012210010122211021
43001333222300013322001
53221404320313101304
644204140121345441
72544102052232566
oct301775260077201
952173183118737
1013331222003329
11427a81530522a
1215b381b338281
1375918a0a87b9
1434133d9cc86d
15181b97da4a54
hexc1feac07e81

13331222003329 has 2 divisors, whose sum is σ = 13331222003330. Its totient is φ = 13331222003328.

The previous prime is 13331222003303. The next prime is 13331222003399. The reversal of 13331222003329 is 92330022213331.

13331222003329 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., 8553150628929 + 4778071374400 = 2924577^2 + 2185880^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331222003329 - 213 = 13331221995137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13331222003294 and 13331222003303.

It is not a weakly prime, because it can be changed into another prime (13331222003399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665611001664 + 6665611001665.

It is an arithmetic number, because the mean of its divisors is an integer number (6665611001665).

Almost surely, 213331222003329 is an apocalyptic number.

It is an amenable number.

13331222003329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331222003329 is an equidigital number, since it uses as much as digits as its factorization.

13331222003329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 34.

The spelling of 13331222003329 in words is "thirteen trillion, three hundred thirty-one billion, two hundred twenty-two million, three thousand, three hundred twenty-nine".