13001393 has 6 divisors (see below), whose sum is σ = 13363686. Its totient is φ = 12648672.

The previous prime is 13001389. The next prime is 13001407. The reversal of 13001393 is 39310031.

13001393 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3717184 + 9284209 = 1928^2 + 3047^2 .

It is not a de Polignac number, because 13001393 - 2² = 13001389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3380 + ... + 6117.

It is an arithmetic number, because the mean of its divisors is an integer number (2227281).

Almost surely, 2^13001393 is an apocalyptic number.

It is an amenable number.

13001393 is a deficient number, since it is larger than the sum of its proper divisors (362293).

13001393 is an frugal number, since it uses more digits than its factorization.

13001393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 20.

The square root of 13001393 is about 3605.7444446328. The cubic root of 13001393 is about 235.1418669573.

The spelling of 13001393 in words is "thirteen million, one thousand, three hundred ninety-three".