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13101232129 is a prime number
BaseRepresentation
bin11000011001110010…
…01111000000000001
31020211001021112211121
430030321033000001
5203312403412004
610004004512241
7642442431016
oct141471170001
936731245747
1013101232129
115613338677
1226576ab681
13130a35727b
148c3d9b70d
1551a29b854
hex30ce4f001

13101232129 has 2 divisors, whose sum is σ = 13101232130. Its totient is φ = 13101232128.

The previous prime is 13101232097. The next prime is 13101232163. The reversal of 13101232129 is 92123210131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10717839729 + 2383392400 = 103527^2 + 48820^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101232129 - 25 = 13101232097 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131232129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550616064 + 6550616065.

It is an arithmetic number, because the mean of its divisors is an integer number (6550616065).

Almost surely, 213101232129 is an apocalyptic number.

It is an amenable number.

13101232129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101232129 is an equidigital number, since it uses as much as digits as its factorization.

13101232129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 13101232129 in words is "thirteen billion, one hundred one million, two hundred thirty-two thousand, one hundred twenty-nine".