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13323321041 is a prime number
BaseRepresentation
bin11000110100010000…
…11011111011010001
31021101112011211112212
430122020123323101
5204241232233131
610042021001505
7651110234402
oct143210337321
937345154485
1013323321041
115717738328
1226b9b53295
131344376724
1490568d9a9
1552ea1aa2b
hex31a21bed1

13323321041 has 2 divisors, whose sum is σ = 13323321042. Its totient is φ = 13323321040.

The previous prime is 13323321029. The next prime is 13323321043. The reversal of 13323321041 is 14012332331.

13323321041 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., 12493650625 + 829670416 = 111775^2 + 28804^2 .

It is a cyclic number.

It is not a de Polignac number, because 13323321041 - 26 = 13323320977 is a prime.

Together with 13323321043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13323320998 and 13323321016.

It is not a weakly prime, because it can be changed into another prime (13323321043) 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, 6661660520 + 6661660521.

It is an arithmetic number, because the mean of its divisors is an integer number (6661660521).

Almost surely, 213323321041 is an apocalyptic number.

It is an amenable number.

13323321041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13323321041 is an equidigital number, since it uses as much as digits as its factorization.

13323321041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13323321041 its reverse (14012332331), we get a palindrome (27335653372).

The spelling of 13323321041 in words is "thirteen billion, three hundred twenty-three million, three hundred twenty-one thousand, forty-one".