2013012993 has 32 divisors (see below), whose sum is σ = 2981809152. Its totient is φ = 1202227200.

The previous prime is 2013012977. The next prime is 2013013001. The reversal of 2013012993 is 3992103102.

It is a happy number.

It is not a de Polignac number, because 2013012993 - 2⁴ = 2013012977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2013012993.

It is not an unprimeable number, because it can be changed into a prime (2013012943) 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, 86005 + ... + 106877.

It is an arithmetic number, because the mean of its divisors is an integer number (93181536).

Almost surely, 2^2013012993 is an apocalyptic number.

It is an amenable number.

2013012993 is a deficient number, since it is larger than the sum of its proper divisors (968796159).

2013012993 is a wasteful number, since it uses less digits than its factorization.

2013012993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20985.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 2013012993 is about 44866.6133444458. The cubic root of 2013012993 is about 1262.6477020672.

The spelling of 2013012993 in words is "two billion, thirteen million, twelve thousand, nine hundred ninety-three".