13140313 has 2 divisors, whose sum is σ = 13140314. Its totient is φ = 13140312.

The previous prime is 13140293. The next prime is 13140317. The reversal of 13140313 is 31304131.

13140313 is digitally balanced in base 3, because in such base 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., 12166144 + 974169 = 3488^2 + 987^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13140313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13140317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6570156 + 6570157.

It is an arithmetic number, because the mean of its divisors is an integer number (6570157).

Almost surely, 2^13140313 is an apocalyptic number.

It is an amenable number.

13140313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13140313 is an equidigital number, since it uses as much as digits as its factorization.

13140313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 13140313 is about 3624.9569652618. The cubic root of 13140313 is about 235.9763992966.

Adding to 13140313 its reverse (31304131), we get a palindrome (44444444).

The spelling of 13140313 in words is "thirteen million, one hundred forty thousand, three hundred thirteen".