2142113234013 has 6 divisors (see below), whose sum is σ = 3094163560254. Its totient is φ = 1428075489336.

The previous prime is 2142113233961. The next prime is 2142113234033. The reversal of 2142113234013 is 3104323112412.

2142113234013 is a `hidden beast` number, since 2 + 1 + 421 + 1 + 3 + 234 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1358628022404 + 783485211609 = 1165602^2 + 885147^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2142113234013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142113234033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 119006290770 + ... + 119006290787.

It is an arithmetic number, because the mean of its divisors is an integer number (515693926709).

Almost surely, 2^{2142113234013} is an apocalyptic number.

It is an amenable number.

2142113234013 is a deficient number, since it is larger than the sum of its proper divisors (952050326241).

2142113234013 is a wasteful number, since it uses less digits than its factorization.

2142113234013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238012581563 (or 238012581560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2142113234013 its reverse (3104323112412), we get a palindrome (5246436346425).

The spelling of 2142113234013 in words is "two trillion, one hundred forty-two billion, one hundred thirteen million, two hundred thirty-four thousand, thirteen".