2013000312 has 32 divisors (see below), whose sum is σ = 5045461200. Its totient is φ = 669272064.

The previous prime is 2013000299. The next prime is 2013000313. The reversal of 2013000312 is 2130003102.

It is a happy number.

It is a super-2 number, since 2×2013000312² = 8104340512224194688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013000313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98473 + ... + 117144.

Almost surely, 2^2013000312 is an apocalyptic number.

It is an amenable number.

2013000312 is an abundant number, since it is smaller than the sum of its proper divisors (3032460888).

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

2013000312 is a wasteful number, since it uses less digits than its factorization.

2013000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216015 (or 216011 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2013000312 is about 44866.4720253331. The cubic root of 2013000312 is about 1262.6450507067.

Adding to 2013000312 its reverse (2130003102), we get a palindrome (4143003414).

The spelling of 2013000312 in words is "two billion, thirteen million, three hundred twelve", and thus it is an aban number.