13257301 has 4 divisors (see below), whose sum is σ = 13264812. Its totient is φ = 13249792.

The previous prime is 13257271. The next prime is 13257317. The reversal of 13257301 is 10375231.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10375231 = 23 ⋅451097.

It can be written as a sum of positive squares in 2 ways, for example, as 6502500 + 6754801 = 2550^2 + 2599^2 .

It is a cyclic number.

It is not a de Polignac number, because 13257301 - 2¹⁹ = 12733013 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 (13257401) 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 3 ways as a sum of consecutive naturals, for example, 501 + ... + 5173.

It is an arithmetic number, because the mean of its divisors is an integer number (3316203).

Almost surely, 2^13257301 is an apocalyptic number.

It is an amenable number.

13257301 is a deficient number, since it is larger than the sum of its proper divisors (7511).

13257301 is an equidigital number, since it uses as much as digits as its factorization.

13257301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7510.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 13257301 is about 3641.0576760057. The cubic root of 13257301 is about 236.6746293250.

The spelling of 13257301 in words is "thirteen million, two hundred fifty-seven thousand, three hundred one".