2013003213 has 32 divisors (see below), whose sum is σ = 2922479616. Its totient is φ = 1225119168.

The previous prime is 2013003193. The next prime is 2013003221. The reversal of 2013003213 is 3123003102.

It is not a de Polignac number, because 2013003213 - 2¹² = 2012999117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013003192 and 2013003201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013003413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2708920 + ... + 2709662.

It is an arithmetic number, because the mean of its divisors is an integer number (91327488).

Almost surely, 2^2013003213 is an apocalyptic number.

It is an amenable number.

2013003213 is a deficient number, since it is larger than the sum of its proper divisors (909476403).

2013003213 is a wasteful number, since it uses less digits than its factorization.

2013003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2013003213 is about 44866.5043545851. The cubic root of 2013003213 is about 1262.6456572527.

Adding to 2013003213 its reverse (3123003102), we get a palindrome (5136006315).

The spelling of 2013003213 in words is "two billion, thirteen million, three thousand, two hundred thirteen".