13041 has 20 divisors (see below), whose sum is σ = 23232. Its totient is φ = 7128.

The previous prime is 13037. The next prime is 13043. The reversal of 13041 is 14031.

13041 is a nontrivial binomial coefficient, being equal to C(162, 2).

It is not a de Polignac number, because 13041 - 2² = 13037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 556 + ... + 578.

2¹³⁰⁴¹ is an apocalyptic number.

13041 is the 161-st triangular number and also the 81-st hexagonal number.

It is an amenable number.

13041 is a deficient number, since it is larger than the sum of its proper divisors (10191).

13041 is an equidigital number, since it uses as much as digits as its factorization.

13041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13041 is about 114.1971978640. The cubic root of 13041 is about 23.5380400954.

Adding to 13041 its reverse (14031), we get a palindrome (27072).

Subtracting 13041 from its reverse (14031), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 130 and 41, that added together give a palindrome (171).

The spelling of 13041 in words is "thirteen thousand, forty-one".