2013310013 has 12 divisors (see below), whose sum is σ = 2378285568. Its totient is φ = 1689489360.

The previous prime is 2013310003. The next prime is 2013310031. The reversal of 2013310013 is 3100133102.

It is a de Polignac number, because none of the positive numbers 2^k-2013310013 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2013310013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013310003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539645 + ... + 543362.

It is an arithmetic number, because the mean of its divisors is an integer number (198190464).

Almost surely, 2^2013310013 is an apocalyptic number.

It is an amenable number.

2013310013 is a deficient number, since it is larger than the sum of its proper divisors (364975555).

2013310013 is a wasteful number, since it uses less digits than its factorization.

2013310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083044 (or 1083031 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 2013310013 is about 44869.9232560075. The cubic root of 2013310013 is about 1262.7098002219.

Adding to 2013310013 its reverse (3100133102), we get a palindrome (5113443115).

Subtracting 2013310013 from its reverse (3100133102), we obtain a square (1086823089 = 32967²).

The spelling of 2013310013 in words is "two billion, thirteen million, three hundred ten thousand, thirteen".