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13330011221 is a prime number
BaseRepresentation
bin11000110101000011…
…11101010001010101
31021101222202201202022
430122201331101111
5204244440324341
610042420222525
7651221140322
oct143241752125
937358681668
1013330011221
1157204977aa
12270023aa45
131345879907
14906511b49
155303dce4b
hex31a87d455

13330011221 has 2 divisors, whose sum is σ = 13330011222. Its totient is φ = 13330011220.

The previous prime is 13330011217. The next prime is 13330011259. The reversal of 13330011221 is 12211003331.

13330011221 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., 12772390225 + 557620996 = 113015^2 + 23614^2 .

It is a cyclic number.

It is not a de Polignac number, because 13330011221 - 22 = 13330011217 is a prime.

It is a super-3 number, since 3×133300112213 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13330011221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13330011271) 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, 6665005610 + 6665005611.

It is an arithmetic number, because the mean of its divisors is an integer number (6665005611).

Almost surely, 213330011221 is an apocalyptic number.

It is an amenable number.

13330011221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13330011221 is an equidigital number, since it uses as much as digits as its factorization.

13330011221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13330011221 its reverse (12211003331), we get a palindrome (25541014552).

The spelling of 13330011221 in words is "thirteen billion, three hundred thirty million, eleven thousand, two hundred twenty-one".