3013 has 4 divisors (see below), whose sum is σ = 3168. Its totient is φ = 2860.

The previous prime is 3011. The next prime is 3019. The reversal of 3013 is 3103.

It is a happy number.

3013 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 3103 = 29 ⋅107.

It is a cyclic number.

It is not a de Polignac number, because 3013 - 2¹ = 3011 is a prime.

It is a Duffinian number.

3013 is an undulating number in base 15.

It is a plaindrome in base 11 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2987 and 3005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3011) 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 in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 88.

It is an arithmetic number, because the mean of its divisors is an integer number (792).

2³⁰¹³ is an apocalyptic number.

It is an amenable number.

3013 is a deficient number, since it is larger than the sum of its proper divisors (155).

3013 is a wasteful number, since it uses less digits than its factorization.

3013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 3013 is about 54.8908006865. The cubic root of 3013 is about 14.4432981777.

Adding to 3013 its reverse (3103), we get a palindrome (6116).

It can be divided in two parts, 301 and 3, that multiplied together give a triangular number (903 = T₄₂).

The spelling of 3013 in words is "three thousand, thirteen".