231013 has 8 divisors (see below), whose sum is σ = 248832. Its totient is φ = 213696.

The previous prime is 231001. The next prime is 231017. The reversal of 231013 is 310132.

231013 is digitally balanced in base 2, 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 231013 - 2⁹ = 230501 is a prime.

It is a Duffinian number.

231013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231017) 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, 1756 + ... + 1882.

It is an arithmetic number, because the mean of its divisors is an integer number (31104).

2²³¹⁰¹³ is an apocalyptic number.

It is an amenable number.

231013 is a deficient number, since it is larger than the sum of its proper divisors (17819).

231013 is a wasteful number, since it uses less digits than its factorization.

231013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 231013 is about 480.6381175063. The cubic root of 231013 is about 61.3590753895.

Adding to 231013 its reverse (310132), we get a palindrome (541145).

It can be divided in two parts, 23101 and 3, that added together give a square (23104 = 152²).

The spelling of 231013 in words is "two hundred thirty-one thousand, thirteen".