13031 has 4 divisors (see below), whose sum is σ = 13272. Its totient is φ = 12792.

The previous prime is 13009. The next prime is 13033.

13031 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13031 - 2⁶ = 12967 is a prime.

It is a super-2 number, since 2×13031² = 339613922, which contains 22 as substring.

It is a Duffinian 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 (13033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 161.

It is an arithmetic number, because the mean of its divisors is an integer number (3318).

2¹³⁰³¹ is an apocalyptic number.

13031 is a deficient number, since it is larger than the sum of its proper divisors (241).

13031 is an equidigital number, since it uses as much as digits as its factorization.

13031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240.

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

The square root of 13031 is about 114.1534055559. The cubic root of 13031 is about 23.5320221369.

It can be divided in two parts, 130 and 31, that added together give a palindrome (161).

The spelling of 13031 in words is "thirteen thousand, thirty-one".