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13243300313 is a prime number
BaseRepresentation
bin11000101010101110…
…01011100111011001
31021011221121100202012
430111113023213121
5204110241102223
610030041515305
7646116123665
oct142527134731
937157540665
1013243300313
1156865525a1
1226971a2b35
131330909a99
148d8bbd8a5
155279b0c78
hex3155cb9d9

13243300313 has 2 divisors, whose sum is σ = 13243300314. Its totient is φ = 13243300312.

The previous prime is 13243300307. The next prime is 13243300319. The reversal of 13243300313 is 31300334231.

It is a balanced prime because it is at equal distance from previous prime (13243300307) and next prime (13243300319).

It can be written as a sum of positive squares in only one way, i.e., 12229705744 + 1013594569 = 110588^2 + 31837^2 .

It is a cyclic number.

It is not a de Polignac number, because 13243300313 - 226 = 13176191449 is a prime.

It is not a weakly prime, because it can be changed into another prime (13243300319) 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, 6621650156 + 6621650157.

It is an arithmetic number, because the mean of its divisors is an integer number (6621650157).

Almost surely, 213243300313 is an apocalyptic number.

It is an amenable number.

13243300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13243300313 is an equidigital number, since it uses as much as digits as its factorization.

13243300313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 13243300313 its reverse (31300334231), we get a palindrome (44543634544).

The spelling of 13243300313 in words is "thirteen billion, two hundred forty-three million, three hundred thousand, three hundred thirteen".