2014132113 has 18 divisors (see below), whose sum is σ = 3384290754. Its totient is φ = 1150932384.

The previous prime is 2014132051. The next prime is 2014132117. The reversal of 2014132113 is 3112314102.

It can be written as a sum of positive squares in only one way, i.e., 1997017344 + 17114769 = 44688^2 + 4137^2 .

It is not a de Polignac number, because 2014132113 - 2⁶ = 2014132049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2014132117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2283156 + ... + 2284037.

It is an arithmetic number, because the mean of its divisors is an integer number (188016153).

Almost surely, 2^2014132113 is an apocalyptic number.

It is an amenable number.

2014132113 is a deficient number, since it is larger than the sum of its proper divisors (1370158641).

2014132113 is a wasteful number, since it uses less digits than its factorization.

2014132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567213 (or 4567203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2014132113 is about 44879.0832459844. The cubic root of 2014132113 is about 1262.8816453358.

Adding to 2014132113 its reverse (3112314102), we get a palindrome (5126446215).

It can be divided in two parts, 201 and 4132113, that added together give a palindrome (4132314).

The spelling of 2014132113 in words is "two billion, fourteen million, one hundred thirty-two thousand, one hundred thirteen".