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13332521309 is a prime number
BaseRepresentation
bin11000110101010111…
…00010000101011101
31021102011111020221112
430122223202011131
5204301111140214
610042550111405
7651251363342
oct143253420535
937364436845
1013332521309
115721951658
12270104b565
131346248283
149069a67c9
15530736a3e
hex31aae215d

13332521309 has 2 divisors, whose sum is σ = 13332521310. Its totient is φ = 13332521308.

The previous prime is 13332521291. The next prime is 13332521311. The reversal of 13332521309 is 90312523331.

13332521309 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., 13317852409 + 14668900 = 115403^2 + 3830^2 .

It is a cyclic number.

It is not a de Polignac number, because 13332521309 - 220 = 13331472733 is a prime.

It is a super-2 number, since 2×133325213092 (a number of 21 digits) contains 22 as substring.

Together with 13332521311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13332521339) 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, 6666260654 + 6666260655.

It is an arithmetic number, because the mean of its divisors is an integer number (6666260655).

Almost surely, 213332521309 is an apocalyptic number.

It is an amenable number.

13332521309 is a deficient number, since it is larger than the sum of its proper divisors (1).

13332521309 is an equidigital number, since it uses as much as digits as its factorization.

13332521309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 32.

The spelling of 13332521309 in words is "thirteen billion, three hundred thirty-two million, five hundred twenty-one thousand, three hundred nine".