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13321240213 is a prime number
BaseRepresentation
bin11000110100000000…
…11111111010010101
31021101101021010012011
430122000133322111
5204240214141323
610041504224221
7651053450011
oct143200377225
937341233164
1013321240213
115716546a36
1226b930b071
131343ac8578
149052ab541
1552e75920d
hex31a01fe95

13321240213 has 2 divisors, whose sum is σ = 13321240214. Its totient is φ = 13321240212.

The previous prime is 13321240201. The next prime is 13321240241. The reversal of 13321240213 is 31204212331.

13321240213 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., 13257910449 + 63329764 = 115143^2 + 7958^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321240213 - 213 = 13321232021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13321280213) 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, 6660620106 + 6660620107.

It is an arithmetic number, because the mean of its divisors is an integer number (6660620107).

Almost surely, 213321240213 is an apocalyptic number.

It is an amenable number.

13321240213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321240213 is an equidigital number, since it uses as much as digits as its factorization.

13321240213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13321240213 its reverse (31204212331), we get a palindrome (44525452544).

The spelling of 13321240213 in words is "thirteen billion, three hundred twenty-one million, two hundred forty thousand, two hundred thirteen".