2014114113 has 64 divisors (see below), whose sum is σ = 3376373760. Its totient is φ = 1175601600.

The previous prime is 2014114103. The next prime is 2014114121. The reversal of 2014114113 is 3114114102.

2014114113 is a `hidden beast` number, since 201 + 411 + 41 + 13 = 666.

It is not a de Polignac number, because 2014114113 - 2²⁴ = 1997336897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2014114103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2605195 + ... + 2605967.

It is an arithmetic number, because the mean of its divisors is an integer number (52755840).

Almost surely, 2^2014114113 is an apocalyptic number.

It is an amenable number.

2014114113 is a deficient number, since it is larger than the sum of its proper divisors (1362259647).

2014114113 is a wasteful number, since it uses less digits than its factorization.

2014114113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2014114113 is about 44878.8827066807. The cubic root of 2014114113 is about 1262.8778832626.

Adding to 2014114113 its reverse (3114114102), we get a palindrome (5128228215).

The spelling of 2014114113 in words is "two billion, fourteen million, one hundred fourteen thousand, one hundred thirteen".