2014114131 has 24 divisors (see below), whose sum is σ = 2935371504. Its totient is φ = 1330732800.

The previous prime is 2014114121. The next prime is 2014114159. The reversal of 2014114131 is 1314114102.

It is not a de Polignac number, because 2014114131 - 2²⁹ = 1477243219 is a prime.

It is a super-2 number, since 2×2014114131² = 8113311465387770322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2014114121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117431 + ... + 1119231.

It is an arithmetic number, because the mean of its divisors is an integer number (122307146).

Almost surely, 2^2014114131 is an apocalyptic number.

2014114131 is a deficient number, since it is larger than the sum of its proper divisors (921257373).

2014114131 is a wasteful number, since it uses less digits than its factorization.

2014114131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2848 counting only the distinct ones).

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

The square root of 2014114131 is about 44878.8829072204. The cubic root of 2014114131 is about 1262.8778870247.

Adding to 2014114131 its reverse (1314114102), we get a palindrome (3328228233).

The spelling of 2014114131 in words is "two billion, fourteen million, one hundred fourteen thousand, one hundred thirty-one".