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13331113333 is a prime number
BaseRepresentation
bin11000110101001100…
…01010010101110101
31021102001211201120021
430122212022111311
5204300231111313
610042500005141
7651233410426
oct143246122565
937361751507
1013331113333
11572107a83a
1227006907b1
131345b74455
1490671b64d
1553055978d
hex31a98a575

13331113333 has 2 divisors, whose sum is σ = 13331113334. Its totient is φ = 13331113332.

The previous prime is 13331113331. The next prime is 13331113339. The reversal of 13331113333 is 33331113331.

13331113333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8144521009 + 5186592324 = 90247^2 + 72018^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331113333 - 21 = 13331113331 is a prime.

Together with 13331113331, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13331113298 and 13331113307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331113331) 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, 6665556666 + 6665556667.

It is an arithmetic number, because the mean of its divisors is an integer number (6665556667).

Almost surely, 213331113333 is an apocalyptic number.

It is an amenable number.

13331113333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331113333 is an equidigital number, since it uses as much as digits as its factorization.

13331113333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2187, while the sum is 25.

Adding to 13331113333 its reverse (33331113331), we get a palindrome (46662226664).

The spelling of 13331113333 in words is "thirteen billion, three hundred thirty-one million, one hundred thirteen thousand, three hundred thirty-three".