13001993 has 2 divisors, whose sum is σ = 13001994. Its totient is φ = 13001992.

The previous prime is 13001981. The next prime is 13002019. The reversal of 13001993 is 39910031.

13001993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13002019) can be obtained adding 13001993 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12866569 + 135424 = 3587^2 + 368^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13001993 is a prime.

It is not a weakly prime, because it can be changed into another prime (13000993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500996 + 6500997.

It is an arithmetic number, because the mean of its divisors is an integer number (6500997).

Almost surely, 2^13001993 is an apocalyptic number.

It is an amenable number.

13001993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001993 is an equidigital number, since it uses as much as digits as its factorization.

13001993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 26.

The square root of 13001993 is about 3605.8276442448. The cubic root of 13001993 is about 235.1454840812.

The spelling of 13001993 in words is "thirteen million, one thousand, nine hundred ninety-three".