12288313 has 2 divisors, whose sum is σ = 12288314. Its totient is φ = 12288312.

The previous prime is 12288301. The next prime is 12288323. The reversal of 12288313 is 31388221.

12288313 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12194064 + 94249 = 3492^2 + 307^2 .

It is a cyclic number.

It is not a de Polignac number, because 12288313 - 2⁵ = 12288281 is a prime.

It is not a weakly prime, because it can be changed into another prime (12288323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6144156 + 6144157.

It is an arithmetic number, because the mean of its divisors is an integer number (6144157).

Almost surely, 2^12288313 is an apocalyptic number.

It is an amenable number.

12288313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12288313 is an equidigital number, since it uses as much as digits as its factorization.

12288313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2304, while the sum is 28.

The square root of 12288313 is about 3505.4690128426. The cubic root of 12288313 is about 230.7618905386.

The spelling of 12288313 in words is "twelve million, two hundred eighty-eight thousand, three hundred thirteen".