13004031 has 16 divisors (see below), whose sum is σ = 18537984. Its totient is φ = 8079744.

The previous prime is 13003987. The next prime is 13004051. The reversal of 13004031 is 13040031.

It is not a de Polignac number, because 13004031 - 2¹⁰ = 13003007 is a prime.

It is a super-2 number, since 2×13004031² = 338209644497922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13003998 and 13004016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4266 + ... + 6648.

It is an arithmetic number, because the mean of its divisors is an integer number (1158624).

Almost surely, 2^13004031 is an apocalyptic number.

13004031 is a deficient number, since it is larger than the sum of its proper divisors (5533953).

13004031 is a wasteful number, since it uses less digits than its factorization.

13004031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13004031 is about 3606.1102312603. The cubic root of 13004031 is about 235.1577694147.

Adding to 13004031 its reverse (13040031), we get a palindrome (26044062).

The spelling of 13004031 in words is "thirteen million, four thousand, thirty-one".