2013012112133 has 16 divisors (see below), whose sum is σ = 2243236011264. Its totient is φ = 1790676010560.

The previous prime is 2013012112057. The next prime is 2013012112187. The reversal of 2013012112133 is 3312112103102.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013012112133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013012192133) 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, 1904291 + ... + 2766287.

It is an arithmetic number, because the mean of its divisors is an integer number (140202250704).

Almost surely, 2^{2013012112133} is an apocalyptic number.

It is an amenable number.

2013012112133 is a deficient number, since it is larger than the sum of its proper divisors (230223899131).

2013012112133 is a wasteful number, since it uses less digits than its factorization.

2013012112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866572.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2013012112133 its reverse (3312112103102), we get a palindrome (5325124215235).

The spelling of 2013012112133 in words is "two trillion, thirteen billion, twelve million, one hundred twelve thousand, one hundred thirty-three".