42101132114113 has 16 divisors (see below), whose sum is σ = 42186299904000. Its totient is φ = 42016078950912.

The previous prime is 42101132114101. The next prime is 42101132114147. The reversal of 42101132114113 is 31141123110124.

It is a cyclic number.

It is not a de Polignac number, because 42101132114113 - 2⁵ = 42101132114081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42101132114513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4890358353 + ... + 4890366961.

It is an arithmetic number, because the mean of its divisors is an integer number (2636643744000).

Almost surely, 2^{42101132114113} is an apocalyptic number.

It is an amenable number.

42101132114113 is a deficient number, since it is larger than the sum of its proper divisors (85167789887).

42101132114113 is a wasteful number, since it uses less digits than its factorization.

42101132114113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14184.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 42101132114113 its reverse (31141123110124), we get a palindrome (73242255224237).

The spelling of 42101132114113 in words is "forty-two trillion, one hundred one billion, one hundred thirty-two million, one hundred fourteen thousand, one hundred thirteen".