2013123324042 has 24 divisors (see below), whose sum is σ = 4361799601380. Its totient is φ = 671036123520.

The previous prime is 2013123324041. The next prime is 2013123324073. The reversal of 2013123324042 is 2404233213102.

2013123324042 is a `hidden beast` number, since 20 + 1 + 3 + 1 + 233 + 2 + 404 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1893345728121 + 119777595921 = 1375989^2 + 346089^2 .

It is a super-3 number, since 3×2013123324042³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2013123323997 and 2013123324015.

It is not an unprimeable number, because it can be changed into a prime (2013123324041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2711292 + ... + 3373032.

Almost surely, 2^{2013123324042} is an apocalyptic number.

2013123324042 is an abundant number, since it is smaller than the sum of its proper divisors (2348676277338).

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

2013123324042 is a wasteful number, since it uses less digits than its factorization.

2013123324042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830758 (or 830755 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2013123324042 its reverse (2404233213102), we get a palindrome (4417356537144).

The spelling of 2013123324042 in words is "two trillion, thirteen billion, one hundred twenty-three million, three hundred twenty-four thousand, forty-two".