2013012313 has 16 divisors (see below), whose sum is σ = 2297707776. Its totient is φ = 1747088640.

The previous prime is 2013012307. The next prime is 2013012329. The reversal of 2013012313 is 3132103102.

It is not a de Polignac number, because 2013012313 - 2⁹ = 2013011801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013010313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244128 + ... + 252238.

It is an arithmetic number, because the mean of its divisors is an integer number (143606736).

Almost surely, 2^2013012313 is an apocalyptic number.

It is an amenable number.

2013012313 is a deficient number, since it is larger than the sum of its proper divisors (284695463).

2013012313 is a wasteful number, since it uses less digits than its factorization.

2013012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9264.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2013012313 is about 44866.6057664272. The cubic root of 2013012313 is about 1262.6475598922.

Adding to 2013012313 its reverse (3132103102), we get a palindrome (5145115415).

The spelling of 2013012313 in words is "two billion, thirteen million, twelve thousand, three hundred thirteen".