13257321 has 32 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 6646080.

The previous prime is 13257319. The next prime is 13257323. The reversal of 13257321 is 12375231.

It is an interprime number because it is at equal distance from previous prime (13257319) and next prime (13257323).

It is not a de Polignac number, because 13257321 - 2¹ = 13257319 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13257291 and 13257300.

It is not an unprimeable number, because it can be changed into a prime (13257323) 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 31 ways as a sum of consecutive naturals, for example, 5710 + ... + 7688.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 2^13257321 is an apocalyptic number.

13257321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13257321 is a deficient number, since it is larger than the sum of its proper divisors (9552279).

13257321 is a wasteful number, since it uses less digits than its factorization.

13257321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029.

The product of its digits is 1260, while the sum is 24.

The square root of 13257321 is about 3641.0604224594. The cubic root of 13257321 is about 236.6747483409.

It can be divided in two parts, 1325 and 7321, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 13257321 in words is "thirteen million, two hundred fifty-seven thousand, three hundred twenty-one".