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13113431129 is a prime number
BaseRepresentation
bin11000011011001111…
…10001010001011001
31020211220020022201102
430031213301101121
5203324014244004
610005122201145
7642651216431
oct141547612131
936756208642
1013113431129
11561a20a997
12265b7b31b5
13130ca38a06
148c58552c1
1551b3ab11e
hex30d9f1459

13113431129 has 2 divisors, whose sum is σ = 13113431130. Its totient is φ = 13113431128.

The previous prime is 13113431087. The next prime is 13113431143. The reversal of 13113431129 is 92113431131.

It is a happy number.

13113431129 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., 9850165504 + 3263265625 = 99248^2 + 57125^2 .

It is a cyclic number.

It is not a de Polignac number, because 13113431129 - 216 = 13113365593 is a prime.

It is not a weakly prime, because it can be changed into another prime (13113431159) 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, 6556715564 + 6556715565.

It is an arithmetic number, because the mean of its divisors is an integer number (6556715565).

Almost surely, 213113431129 is an apocalyptic number.

It is an amenable number.

13113431129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13113431129 is an equidigital number, since it uses as much as digits as its factorization.

13113431129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 29.

The spelling of 13113431129 in words is "thirteen billion, one hundred thirteen million, four hundred thirty-one thousand, one hundred twenty-nine".