12805313 has 2 divisors, whose sum is σ = 12805314. Its totient is φ = 12805312.

The previous prime is 12805307. The next prime is 12805337. The reversal of 12805313 is 31350821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8340544 + 4464769 = 2888^2 + 2113^2 .

It is an emirp because it is prime and its reverse (31350821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12805313 - 2¹⁰ = 12804289 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12805343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6402656 + 6402657.

It is an arithmetic number, because the mean of its divisors is an integer number (6402657).

Almost surely, 2^12805313 is an apocalyptic number.

It is an amenable number.

12805313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12805313 is an equidigital number, since it uses as much as digits as its factorization.

12805313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 12805313 is about 3578.4512012881. The cubic root of 12805313 is about 233.9537798014.

The spelling of 12805313 in words is "twelve million, eight hundred five thousand, three hundred thirteen".