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133311000313 is a prime number
BaseRepresentation
bin111110000100111110…
…1000110111011111001
3110202002200011111012001
41330021331012323321
54141010104002223
6141124153221001
712426366543331
oct1741175067371
9422080144161
10133311000313
115159a647727
1221a05701761
13c756b38b0a
14664910a0c1
15370388a9ad
hex1f09f46ef9

133311000313 has 2 divisors, whose sum is σ = 133311000314. Its totient is φ = 133311000312.

The previous prime is 133311000289. The next prime is 133311000331. The reversal of 133311000313 is 313000113331.

It is a happy number.

Together with next prime (133311000331) 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., 123630998544 + 9680001769 = 351612^2 + 98387^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133311000313 is a prime.

It is not a weakly prime, because it can be changed into another prime (133311000013) 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, 66655500156 + 66655500157.

It is an arithmetic number, because the mean of its divisors is an integer number (66655500157).

Almost surely, 2133311000313 is an apocalyptic number.

It is an amenable number.

133311000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

133311000313 is an equidigital number, since it uses as much as digits as its factorization.

133311000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 133311000313 its reverse (313000113331), we get a palindrome (446311113644).

The spelling of 133311000313 in words is "one hundred thirty-three billion, three hundred eleven million, three hundred thirteen", and thus it is an aban number.