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13301310193 is a prime number
BaseRepresentation
bin11000110001101000…
…11110001011110001
31021022222202120100021
430120310132023301
5204220113411233
610035513123441
7650422162003
oct143064361361
937288676307
1013301310193
115706274246
1226b26b9581
13133c93ac62
149027a0373
1552cb1de2d
hex318d1e2f1

13301310193 has 2 divisors, whose sum is σ = 13301310194. Its totient is φ = 13301310192.

The previous prime is 13301310163. The next prime is 13301310223. The reversal of 13301310193 is 39101310331.

13301310193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13301310163) and next prime (13301310223).

It can be written as a sum of positive squares in only one way, i.e., 11240876529 + 2060433664 = 106023^2 + 45392^2 .

It is a cyclic number.

It is not a de Polignac number, because 13301310193 - 25 = 13301310161 is a prime.

It is not a weakly prime, because it can be changed into another prime (13301310103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650655096 + 6650655097.

It is an arithmetic number, because the mean of its divisors is an integer number (6650655097).

Almost surely, 213301310193 is an apocalyptic number.

It is an amenable number.

13301310193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13301310193 is an equidigital number, since it uses as much as digits as its factorization.

13301310193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

The spelling of 13301310193 in words is "thirteen billion, three hundred one million, three hundred ten thousand, one hundred ninety-three".