13000031 has 8 divisors (see below), whose sum is σ = 14208384. Its totient is φ = 11796120.

The previous prime is 13000027. The next prime is 13000049.

13000031 is nontrivially palindromic in base 10.

13000031 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13000031 - 2² = 13000027 is a prime.

It is a super-2 number, since 2×13000031² = 338001612001922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12999982 and 13000018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9326 + ... + 10628.

It is an arithmetic number, because the mean of its divisors is an integer number (1776048).

Almost surely, 2^13000031 is an apocalyptic number.

13000031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13000031 is a deficient number, since it is larger than the sum of its proper divisors (1208353).

13000031 is a wasteful number, since it uses less digits than its factorization.

13000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 13000031 is about 3605.5555743879. Note that the first 4 decimals coincide. The cubic root of 13000031 is about 235.1336556729.

It can be divided in two parts, 130000 and 31, that added together give a palindrome (130031).

The spelling of 13000031 in words is "thirteen million, thirty-one", and thus it is an aban number and an uban number.