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1312173294337 is a prime number
BaseRepresentation
bin10011000110000011100…
…111111000001100000001
311122102221121112212201101
4103012003213320030001
5132444312330404322
62442445403334401
7163541606654413
oct23060347701401
94572847485641
101312173294337
11466542686424
12192384221401
1396978125899
144771c1d69b3
15241ec9c7327
hex131839f8301

1312173294337 has 2 divisors, whose sum is σ = 1312173294338. Its totient is φ = 1312173294336.

The previous prime is 1312173294283. The next prime is 1312173294343. The reversal of 1312173294337 is 7334923712131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1308093150961 + 4080143376 = 1143719^2 + 63876^2 .

It is an emirp because it is prime and its reverse (7334923712131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1312173294337 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312173294347) 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, 656086647168 + 656086647169.

It is an arithmetic number, because the mean of its divisors is an integer number (656086647169).

Almost surely, 21312173294337 is an apocalyptic number.

It is an amenable number.

1312173294337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312173294337 is an equidigital number, since it uses as much as digits as its factorization.

1312173294337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 571536, while the sum is 46.

The spelling of 1312173294337 in words is "one trillion, three hundred twelve billion, one hundred seventy-three million, two hundred ninety-four thousand, three hundred thirty-seven".