13044031 has 32 divisors (see below), whose sum is σ = 17837568. Its totient is φ = 9210240.

The previous prime is 13044001. The next prime is 13044037.

13044031 is nontrivially palindromic in base 10.

13044031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13044031 - 2⁵ = 13043999 is a prime.

It is a super-2 number, since 2×13044031² = 340293489457922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13043996 and 13044014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044037) 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, 83005 + ... + 83161.

It is an arithmetic number, because the mean of its divisors is an integer number (557424).

Almost surely, 2^13044031 is an apocalyptic number.

13044031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13044031 is a deficient number, since it is larger than the sum of its proper divisors (4793537).

13044031 is a wasteful number, since it uses less digits than its factorization.

13044031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13044031 is about 3611.6521150299. The cubic root of 13044031 is about 235.3986353102.

It can be divided in two parts, 1304 and 4031, that added together give a palindrome (5335).

The spelling of 13044031 in words is "thirteen million, forty-four thousand, thirty-one".