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4133314313 is a prime number
BaseRepresentation
bin1111011001011101…
…0101111100001001
3101200001120010022022
43312113111330021
531431112024223
61522051134225
7204266410022
oct36627257411
911601503268
104133314313
11183116a247
129742a4375
1350b42a91b
142b2d37c49
15192d0aac8
hexf65d5f09

4133314313 has 2 divisors, whose sum is σ = 4133314314. Its totient is φ = 4133314312.

The previous prime is 4133314307. The next prime is 4133314369. The reversal of 4133314313 is 3134133314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4021208569 + 112105744 = 63413^2 + 10588^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4133314313 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4133314013) 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, 2066657156 + 2066657157.

It is an arithmetic number, because the mean of its divisors is an integer number (2066657157).

Almost surely, 24133314313 is an apocalyptic number.

It is an amenable number.

4133314313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4133314313 is an equidigital number, since it uses as much as digits as its factorization.

4133314313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 26.

The square root of 4133314313 is about 64290.8571493646. The cubic root of 4133314313 is about 1604.8439547698.

Adding to 4133314313 its reverse (3134133314), we get a palindrome (7267447627).

The spelling of 4133314313 in words is "four billion, one hundred thirty-three million, three hundred fourteen thousand, three hundred thirteen".