2013142304133 has 14 divisors (see below), whose sum is σ = 3018332701254. Its totient is φ = 1342094868936.

The previous prime is 2013142304113. The next prime is 2013142304167. The reversal of 2013142304133 is 3314032413102.

It is a happy number.

2013142304133 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 14 + 230 + 413 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1800623148129 + 212519156004 = 1341873^2 + 460998^2 .

It is not a de Polignac number, because 2013142304133 - 2¹⁷ = 2013142173061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2013142304097 and 2013142304106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013142304113) 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 13 ways as a sum of consecutive naturals, for example, 1380755310 + ... + 1380756767.

Almost surely, 2^{2013142304133} is an apocalyptic number.

It is an amenable number.

2013142304133 is a deficient number, since it is larger than the sum of its proper divisors (1005190397121).

2013142304133 is an frugal number, since it uses more digits than its factorization.

2013142304133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761512095 (or 2761512080 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2013142304133 its reverse (3314032413102), we get a palindrome (5327174717235).

The spelling of 2013142304133 in words is "two trillion, thirteen billion, one hundred forty-two million, three hundred four thousand, one hundred thirty-three".