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13105121291 is a prime number
BaseRepresentation
bin11000011010010000…
…00100100000001011
31020211022121010202122
430031020010200023
5203314402340131
610004224121455
7642520456463
oct141510044013
936738533678
1013105121291
115615554659
122658a6628b
13130b0b9552
148c46d0ba3
1551a7b8d7b
hex30d20480b

13105121291 has 2 divisors, whose sum is σ = 13105121292. Its totient is φ = 13105121290.

The previous prime is 13105121273. The next prime is 13105121303. The reversal of 13105121291 is 19212150131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13105121291 - 210 = 13105120267 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13105121291.

It is not a weakly prime, because it can be changed into another prime (13105121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552560645 + 6552560646.

It is an arithmetic number, because the mean of its divisors is an integer number (6552560646).

Almost surely, 213105121291 is an apocalyptic number.

13105121291 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105121291 is an equidigital number, since it uses as much as digits as its factorization.

13105121291 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 26.

The spelling of 13105121291 in words is "thirteen billion, one hundred five million, one hundred twenty-one thousand, two hundred ninety-one".