2013424403121 has 12 divisors (see below), whose sum is σ = 2908314301620. Its totient is φ = 1342266962400.

The previous prime is 2013424403101. The next prime is 2013424403141. The reversal of 2013424403121 is 1213044243102.

2013424403121 is a `hidden beast` number, since 2 + 0 + 1 + 342 + 4 + 4 + 0 + 312 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2013424403101) and next prime (2013424403141).

It can be written as a sum of positive squares in 2 ways, for example, as 1473397834896 + 540026568225 = 1213836^2 + 734865^2 .

It is not a de Polignac number, because 2013424403121 - 2⁶ = 2013424403057 is a prime.

It is a super-2 number, since 2×2013424403121² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013424403101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505830 + ... + 2069471.

It is an arithmetic number, because the mean of its divisors is an integer number (242359525135).

Almost surely, 2^{2013424403121} is an apocalyptic number.

It is an amenable number.

2013424403121 is a deficient number, since it is larger than the sum of its proper divisors (894889898499).

2013424403121 is a wasteful number, since it uses less digits than its factorization.

2013424403121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662176 (or 2662173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2013424403121 its reverse (1213044243102), we get a palindrome (3226468646223).

The spelling of 2013424403121 in words is "two trillion, thirteen billion, four hundred twenty-four million, four hundred three thousand, one hundred twenty-one".