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12321330313129 is a prime number
BaseRepresentation
bin1011001101001100100010…
…0001000011011110101001
31121121220111200202022022221
42303103020201003132221
53103333041030010004
642112201353514041
72411121023423605
oct263231041033651
947556450668287
1012321330313129
113a204a0822062
12146bb58712921
136b4b866b5746
143084d9978505
1516578d027354
hexb34c88437a9

12321330313129 has 2 divisors, whose sum is σ = 12321330313130. Its totient is φ = 12321330313128.

The previous prime is 12321330313079. The next prime is 12321330313151. The reversal of 12321330313129 is 92131303312321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7197228045225 + 5124102267904 = 2682765^2 + 2263648^2 .

It is a cyclic number.

It is not a de Polignac number, because 12321330313129 - 233 = 12312740378537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12321330313094 and 12321330313103.

It is not a weakly prime, because it can be changed into another prime (12321330313199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6160665156564 + 6160665156565.

It is an arithmetic number, because the mean of its divisors is an integer number (6160665156565).

Almost surely, 212321330313129 is an apocalyptic number.

It is an amenable number.

12321330313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12321330313129 is an equidigital number, since it uses as much as digits as its factorization.

12321330313129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 34.

The spelling of 12321330313129 in words is "twelve trillion, three hundred twenty-one billion, three hundred thirty million, three hundred thirteen thousand, one hundred twenty-nine".