2013003312 has 80 divisors (see below), whose sum is σ = 5251806720. Its totient is φ = 664389376.

The previous prime is 2013003301. The next prime is 2013003341. The reversal of 2013003312 is 2133003102.

It is a junction number, because it is equal to n+sod(n) for n = 2013003291 and 2013003300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2603758 + ... + 2604530.

It is an arithmetic number, because the mean of its divisors is an integer number (65647584).

Almost surely, 2^2013003312 is an apocalyptic number.

It is an amenable number.

2013003312 is an abundant number, since it is smaller than the sum of its proper divisors (3238803408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013003312 is a wasteful number, since it uses less digits than its factorization.

2013003312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1244 counting only the distinct ones).

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

The square root of 2013003312 is about 44866.5054578580. The cubic root of 2013003312 is about 1262.6456779517.

Adding to 2013003312 its reverse (2133003102), we get a palindrome (4146006414).

The spelling of 2013003312 in words is "two billion, thirteen million, three thousand, three hundred twelve".