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13123534121 is a prime number
BaseRepresentation
bin11000011100011100…
…10011110100101001
31020212121020121102022
430032032103310221
5203334111042441
610010122514225
7643133125265
oct141616236451
936777217368
1013123534121
115624990475
122663065975
131311b65409
148c6d250a5
1551c20484b
hex30e393d29

13123534121 has 2 divisors, whose sum is σ = 13123534122. Its totient is φ = 13123534120.

The previous prime is 13123534091. The next prime is 13123534129. The reversal of 13123534121 is 12143532131.

13123534121 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., 9421420096 + 3702114025 = 97064^2 + 60845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13123534121 is a prime.

It is not a weakly prime, because it can be changed into another prime (13123534129) 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, 6561767060 + 6561767061.

It is an arithmetic number, because the mean of its divisors is an integer number (6561767061).

Almost surely, 213123534121 is an apocalyptic number.

It is an amenable number.

13123534121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123534121 is an equidigital number, since it uses as much as digits as its factorization.

13123534121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 26.

The spelling of 13123534121 in words is "thirteen billion, one hundred twenty-three million, five hundred thirty-four thousand, one hundred twenty-one".