13125193 has 2 divisors, whose sum is σ = 13125194. Its totient is φ = 13125192.

The previous prime is 13125179. The next prime is 13125209. The reversal of 13125193 is 39152131.

13125193 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7112889 + 6012304 = 2667^2 + 2452^2 .

It is an emirp because it is prime and its reverse (39152131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13125193 - 2¹³ = 13117001 is a prime.

It is not a weakly prime, because it can be changed into another prime (13125103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6562596 + 6562597.

It is an arithmetic number, because the mean of its divisors is an integer number (6562597).

Almost surely, 2^13125193 is an apocalyptic number.

It is an amenable number.

13125193 is a deficient number, since it is larger than the sum of its proper divisors (1).

13125193 is an equidigital number, since it uses as much as digits as its factorization.

13125193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 810, while the sum is 25.

The square root of 13125193 is about 3622.8708229800. The cubic root of 13125193 is about 235.8858552196.

The spelling of 13125193 in words is "thirteen million, one hundred twenty-five thousand, one hundred ninety-three".