13000993 has 2 divisors, whose sum is σ = 13000994. Its totient is φ = 13000992.

The previous prime is 13000987. The next prime is 13001029. The reversal of 13000993 is 39900031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9345249 + 3655744 = 3057^2 + 1912^2 .

It is an emirp because it is prime and its reverse (39900031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13000993 is a prime.

It is not a weakly prime, because it can be changed into another prime (13000913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500496 + 6500497.

It is an arithmetic number, because the mean of its divisors is an integer number (6500497).

Almost surely, 2^13000993 is an apocalyptic number.

It is an amenable number.

13000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000993 is an equidigital number, since it uses as much as digits as its factorization.

13000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 13000993 is about 3605.6889771582. The cubic root of 13000993 is about 235.1394554795.

The spelling of 13000993 in words is "thirteen million, nine hundred ninety-three", and thus it is an aban number.