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13221032129 is a prime number
BaseRepresentation
bin11000101000000100…
…01111000011000001
31021010101201000112122
430110002033003001
5204034041012004
610023524334025
7645425630114
oct142402170301
937111630478
1013221032129
115674a23138
12268b844315
131329111146
148d5c6457b
15525a62cbe
hex31408f0c1

13221032129 has 2 divisors, whose sum is σ = 13221032130. Its totient is φ = 13221032128.

The previous prime is 13221032093. The next prime is 13221032131. The reversal of 13221032129 is 92123012231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10988280625 + 2232751504 = 104825^2 + 47252^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221032129 - 212 = 13221028033 is a prime.

Together with 13221032131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13221032098 and 13221032107.

It is not a weakly prime, because it can be changed into another prime (13221032189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610516064 + 6610516065.

It is an arithmetic number, because the mean of its divisors is an integer number (6610516065).

Almost surely, 213221032129 is an apocalyptic number.

It is an amenable number.

13221032129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221032129 is an equidigital number, since it uses as much as digits as its factorization.

13221032129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 13221032129 in words is "thirteen billion, two hundred twenty-one million, thirty-two thousand, one hundred twenty-nine".