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13344131393 is a prime number
BaseRepresentation
bin11000110110101111…
…10100100101000001
31021102222100002222122
430123113310211001
5204312044201033
610044043014025
7651452150105
oct143327644501
937388302878
1013344131393
11572846146a
122704b0a315
131348781948
14908349905
1553177ba98
hex31b5f4941

13344131393 has 2 divisors, whose sum is σ = 13344131394. Its totient is φ = 13344131392.

The previous prime is 13344131341. The next prime is 13344131441. The reversal of 13344131393 is 39313144331.

13344131393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10656019984 + 2688111409 = 103228^2 + 51847^2 .

It is a cyclic number.

It is not a de Polignac number, because 13344131393 - 212 = 13344127297 is a prime.

It is not a weakly prime, because it can be changed into another prime (13344131293) 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, 6672065696 + 6672065697.

It is an arithmetic number, because the mean of its divisors is an integer number (6672065697).

Almost surely, 213344131393 is an apocalyptic number.

It is an amenable number.

13344131393 is a deficient number, since it is larger than the sum of its proper divisors (1).

13344131393 is an equidigital number, since it uses as much as digits as its factorization.

13344131393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 35.

The spelling of 13344131393 in words is "thirteen billion, three hundred forty-four million, one hundred thirty-one thousand, three hundred ninety-three".