13033041 has 32 divisors (see below), whose sum is σ = 20628480. Its totient is φ = 7166016.

The previous prime is 13033003. The next prime is 13033049. The reversal of 13033041 is 14033031.

It is not a de Polignac number, because 13033041 - 2⁹ = 13032529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13033041.

It is not an unprimeable number, because it can be changed into a prime (13033049) 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 31 ways as a sum of consecutive naturals, for example, 82935 + ... + 83091.

It is an arithmetic number, because the mean of its divisors is an integer number (644640).

Almost surely, 2^13033041 is an apocalyptic number.

It is an amenable number.

13033041 is a deficient number, since it is larger than the sum of its proper divisors (7595439).

13033041 is a wasteful number, since it uses less digits than its factorization.

13033041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13033041 is about 3610.1303300574. The cubic root of 13033041 is about 235.3325065219.

Adding to 13033041 its reverse (14033031), we get a palindrome (27066072).

It can be divided in two parts, 1303304 and 1, that added together give a triangular number (1303305 = T₁₆₁₄).

The spelling of 13033041 in words is "thirteen million, thirty-three thousand, forty-one".