331013 has 2 divisors, whose sum is σ = 331014. Its totient is φ = 331012.

The previous prime is 330997. The next prime is 331027. The reversal of 331013 is 310133.

331013 is nontrivially palindromic in base 16.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293764 + 37249 = 542^2 + 193^2 .

It is a cyclic number.

It is not a de Polignac number, because 331013 - 2⁴ = 330997 is a prime.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 330985 and 331003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165506 + 165507.

It is an arithmetic number, because the mean of its divisors is an integer number (165507).

2³³¹⁰¹³ is an apocalyptic number.

It is an amenable number.

331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331013 is an equidigital number, since it uses as much as digits as its factorization.

331013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 331013 is about 575.3372923773. The cubic root of 331013 is about 69.1748697550.

Adding to 331013 its reverse (310133), we get a palindrome (641146).

It can be divided in two parts, 3 and 31013, that multiplied together give a palindrome (93039).

The spelling of 331013 in words is "three hundred thirty-one thousand, thirteen".