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1330133323217 is a prime number
BaseRepresentation
bin10011010110110010000…
…111111100110111010001
311201011022021111212200012
4103112302013330313101
5133243103112320332
62455015501204305
7165045641461556
oct23266207746721
94634267455605
101330133323217
114731196479a6
12195956b60695
139857ac9c7ca
14485435baa2d
15248ee5d73b2
hex135b21fcdd1

1330133323217 has 2 divisors, whose sum is σ = 1330133323218. Its totient is φ = 1330133323216.

The previous prime is 1330133323159. The next prime is 1330133323243. The reversal of 1330133323217 is 7123233310331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 924566863936 + 405566459281 = 961544^2 + 636841^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330133323217 - 216 = 1330133257681 is a prime.

It is not a weakly prime, because it can be changed into another prime (1330130323217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665066661608 + 665066661609.

It is an arithmetic number, because the mean of its divisors is an integer number (665066661609).

Almost surely, 21330133323217 is an apocalyptic number.

It is an amenable number.

1330133323217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1330133323217 is an equidigital number, since it uses as much as digits as its factorization.

1330133323217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 32.

Adding to 1330133323217 its reverse (7123233310331), we get a palindrome (8453366633548).

The spelling of 1330133323217 in words is "one trillion, three hundred thirty billion, one hundred thirty-three million, three hundred twenty-three thousand, two hundred seventeen".