42002024134113 has 12 divisors (see below), whose sum is σ = 62761645258260. Its totient is φ = 27035785649376.

The previous prime is 42002024134039. The next prime is 42002024134117. The reversal of 42002024134113 is 31143142020024.

42002024134113 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 2 + 0 + 241 + 3 + 411 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23146567743744 + 18855456390369 = 4811088^2 + 4342287^2 .

It is not a de Polignac number, because 42002024134113 - 2¹⁷ = 42002024003041 is a prime.

It is a super-2 number, since 2×42002024134113² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42002024134117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80463647506 + ... + 80463648027.

It is an arithmetic number, because the mean of its divisors is an integer number (5230137104855).

Almost surely, 2^{42002024134113} is an apocalyptic number.

It is an amenable number.

42002024134113 is a deficient number, since it is larger than the sum of its proper divisors (20759621124147).

42002024134113 is a wasteful number, since it uses less digits than its factorization.

42002024134113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160927295568 (or 160927295565 counting only the distinct ones).

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

Adding to 42002024134113 its reverse (31143142020024), we get a palindrome (73145166154137).

The spelling of 42002024134113 in words is "forty-two trillion, two billion, twenty-four million, one hundred thirty-four thousand, one hundred thirteen".