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1314046351337 is a prime number
BaseRepresentation
bin10011000111110011010…
…001000001011111101001
311122121210011001000212212
4103013303101001133221
5133012131331220322
62443355313414505
7163636202460116
oct23076321013751
94577704030785
101314046351337
114673139a9915
1219280756a435
1396bb61b4a35
1447858c8990d
15242ac1620e2
hex131f34417e9

1314046351337 has 2 divisors, whose sum is σ = 1314046351338. Its totient is φ = 1314046351336.

The previous prime is 1314046351313. The next prime is 1314046351381. The reversal of 1314046351337 is 7331536404131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 973732794841 + 340313556496 = 986779^2 + 583364^2 .

It is an emirp because it is prime and its reverse (7331536404131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1314046351337 - 26 = 1314046351273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1314046351294 and 1314046351303.

It is not a weakly prime, because it can be changed into another prime (1314046351537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 657023175668 + 657023175669.

It is an arithmetic number, because the mean of its divisors is an integer number (657023175669).

Almost surely, 21314046351337 is an apocalyptic number.

It is an amenable number.

1314046351337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1314046351337 is an equidigital number, since it uses as much as digits as its factorization.

1314046351337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 41.

The spelling of 1314046351337 in words is "one trillion, three hundred fourteen billion, forty-six million, three hundred fifty-one thousand, three hundred thirty-seven".