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1321320313 is a prime number
BaseRepresentation
bin100111011000001…
…1011111101111001
310102002022000201101
41032300123331321
510201224222223
6335040251401
744513015545
oct11660337571
93362260641
101321320313
1161893a565
1230a610b61
13180991351
14c76b0a25
157b0024ad
hex4ec1bf79

1321320313 has 2 divisors, whose sum is σ = 1321320314. Its totient is φ = 1321320312.

The previous prime is 1321320277. The next prime is 1321320331. The reversal of 1321320313 is 3130231231.

Together with next prime (1321320331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1070794729 + 250525584 = 32723^2 + 15828^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1321320313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1321320373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 660660156 + 660660157.

It is an arithmetic number, because the mean of its divisors is an integer number (660660157).

Almost surely, 21321320313 is an apocalyptic number.

It is an amenable number.

1321320313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321320313 is an equidigital number, since it uses as much as digits as its factorization.

1321320313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1321320313 is about 36349.9699174566. The cubic root of 1321320313 is about 1097.3269290863.

Adding to 1321320313 its reverse (3130231231), we get a palindrome (4451551544).

The spelling of 1321320313 in words is "one billion, three hundred twenty-one million, three hundred twenty thousand, three hundred thirteen".