2013233133123 has 24 divisors (see below), whose sum is σ = 3116159596368. Its totient is φ = 1247985756672.

The previous prime is 2013233133113. The next prime is 2013233133179. The reversal of 2013233133123 is 3213313323102.

2013233133123 is a `hidden beast` number, since 2 + 0 + 1 + 32 + 3 + 313 + 312 + 3 = 666.

It is not a de Polignac number, because 2013233133123 - 2⁵ = 2013233133091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013233133103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79254690 + ... + 79280087.

It is an arithmetic number, because the mean of its divisors is an integer number (129839983182).

Almost surely, 2^{2013233133123} is an apocalyptic number.

2013233133123 is a deficient number, since it is larger than the sum of its proper divisors (1102926463245).

2013233133123 is a wasteful number, since it uses less digits than its factorization.

2013233133123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158534883 (or 158534880 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2013233133123 its reverse (3213313323102), we get a palindrome (5226546456225).

The spelling of 2013233133123 in words is "two trillion, thirteen billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty-three".