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13332210013 is a prime number
BaseRepresentation
bin11000110101010100…
…10110000101011101
31021102010220102221001
430122222112011131
5204301021210023
610042535310301
7651245625643
oct143252260535
937363812831
1013332210013
115721759791
122700b1b391
131346169685
14906925193
155306c46ad
hex31aa9615d

13332210013 has 2 divisors, whose sum is σ = 13332210014. Its totient is φ = 13332210012.

The previous prime is 13332209987. The next prime is 13332210043. The reversal of 13332210013 is 31001223331.

13332210013 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., 13295704249 + 36505764 = 115307^2 + 6042^2 .

It is a cyclic number.

It is not a de Polignac number, because 13332210013 - 213 = 13332201821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13332210043) 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, 6666105006 + 6666105007.

It is an arithmetic number, because the mean of its divisors is an integer number (6666105007).

Almost surely, 213332210013 is an apocalyptic number.

It is an amenable number.

13332210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13332210013 is an equidigital number, since it uses as much as digits as its factorization.

13332210013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13332210013 its reverse (31001223331), we get a palindrome (44333433344).

The spelling of 13332210013 in words is "thirteen billion, three hundred thirty-two million, two hundred ten thousand, thirteen".