13004181 has 6 divisors (see below), whose sum is σ = 18783830. Its totient is φ = 8669448.

The previous prime is 13004161. The next prime is 13004197. The reversal of 13004181 is 18140031.

It can be written as a sum of positive squares in only one way, i.e., 12895281 + 108900 = 3591^2 + 330^2 .

It is not a de Polignac number, because 13004181 - 2¹⁴ = 12987797 is a prime.

It is a super-2 number, since 2×13004181² = 338217446961522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 722446 + ... + 722463.

Almost surely, 2^13004181 is an apocalyptic number.

It is an amenable number.

13004181 is a deficient number, since it is larger than the sum of its proper divisors (5779649).

13004181 is a wasteful number, since it uses less digits than its factorization.

13004181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444915 (or 1444912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13004181 is about 3606.1310292334. The cubic root of 13004181 is about 235.1586735838.

The spelling of 13004181 in words is "thirteen million, four thousand, one hundred eighty-one".