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13302103313 is a prime number
BaseRepresentation
bin11000110001101110…
…11111110100010001
31021100001020212022002
430120313133310101
5204220314301223
610035542123345
7650432004212
oct143067376421
937301225262
1013302103313
115706766114
1226b2a20555
13133cb57c65
14902929409
1552cc28e28
hex318ddfd11

13302103313 has 2 divisors, whose sum is σ = 13302103314. Its totient is φ = 13302103312.

The previous prime is 13302103273. The next prime is 13302103387. The reversal of 13302103313 is 31330120331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12061091329 + 1241011984 = 109823^2 + 35228^2 .

It is a cyclic number.

It is not a de Polignac number, because 13302103313 - 218 = 13301841169 is a prime.

It is not a weakly prime, because it can be changed into another prime (13302102313) 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, 6651051656 + 6651051657.

It is an arithmetic number, because the mean of its divisors is an integer number (6651051657).

Almost surely, 213302103313 is an apocalyptic number.

It is an amenable number.

13302103313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13302103313 is an equidigital number, since it uses as much as digits as its factorization.

13302103313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 13302103313 its reverse (31330120331), we get a palindrome (44632223644).

The spelling of 13302103313 in words is "thirteen billion, three hundred two million, one hundred three thousand, three hundred thirteen".