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13010513441 is a prime number
BaseRepresentation
bin11000001110111110…
…01010111000100001
31020120201120120012012
430013133022320201
5203121142412231
65551004242305
7640261353032
oct140737127041
936521516165
1013010513441
115577106352
122631240395
1312c4613183
148b5d04a89
1551232be2b
hex3077cae21

13010513441 has 2 divisors, whose sum is σ = 13010513442. Its totient is φ = 13010513440.

The previous prime is 13010513371. The next prime is 13010513471. The reversal of 13010513441 is 14431501031.

It is a happy number.

13010513441 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., 10306513441 + 2704000000 = 101521^2 + 52000^2 .

It is a cyclic number.

It is not a de Polignac number, because 13010513441 - 218 = 13010251297 is a prime.

It is not a weakly prime, because it can be changed into another prime (13010513471) 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, 6505256720 + 6505256721.

It is an arithmetic number, because the mean of its divisors is an integer number (6505256721).

Almost surely, 213010513441 is an apocalyptic number.

It is an amenable number.

13010513441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13010513441 is an equidigital number, since it uses as much as digits as its factorization.

13010513441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 13010513441 in words is "thirteen billion, ten million, five hundred thirteen thousand, four hundred forty-one".