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13261223329 is a prime number
BaseRepresentation
bin11000101100110111…
…00011010110100001
31021020012022221111121
430112123203112201
5204124333121304
610031522012241
7646424352454
oct142633432641
937205287447
1013261223329
115695684402
1226a11a7081
131334543a13
148db32749b
15529351554
hex3166e35a1

13261223329 has 2 divisors, whose sum is σ = 13261223330. Its totient is φ = 13261223328.

The previous prime is 13261223293. The next prime is 13261223401. The reversal of 13261223329 is 92332216231.

13261223329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (13261223293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13046893729 + 214329600 = 114223^2 + 14640^2 .

It is a cyclic number.

It is not a de Polignac number, because 13261223329 - 29 = 13261222817 is a prime.

It is a super-2 number, since 2×132612233292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13261223294 and 13261223303.

It is not a weakly prime, because it can be changed into another prime (13261223629) 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, 6630611664 + 6630611665.

It is an arithmetic number, because the mean of its divisors is an integer number (6630611665).

Almost surely, 213261223329 is an apocalyptic number.

It is an amenable number.

13261223329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13261223329 is an equidigital number, since it uses as much as digits as its factorization.

13261223329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 34.

The spelling of 13261223329 in words is "thirteen billion, two hundred sixty-one million, two hundred twenty-three thousand, three hundred twenty-nine".