114042112113 has 8 divisors (see below), whose sum is σ = 160059104800. Its totient is φ = 72026597088.

The previous prime is 114042112091. The next prime is 114042112117. The reversal of 114042112113 is 311211240411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 114042112113 - 2²⁰ = 114041063537 is a prime.

It is a super-3 number, since 3×114042112113³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114042112113.

It is not an unprimeable number, because it can be changed into a prime (114042112117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000369348 + ... + 1000369461.

It is an arithmetic number, because the mean of its divisors is an integer number (20007388100).

Almost surely, 2^114042112113 is an apocalyptic number.

It is an amenable number.

114042112113 is a deficient number, since it is larger than the sum of its proper divisors (46016992687).

114042112113 is a wasteful number, since it uses less digits than its factorization.

114042112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000738831.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 114042112113 its reverse (311211240411), we get a palindrome (425253352524).

It can be divided in two parts, 1140 and 42112113, that added together give a triangular number (42113253 = T₉₁₇₇).

The spelling of 114042112113 in words is "one hundred fourteen billion, forty-two million, one hundred twelve thousand, one hundred thirteen".