114114013 has 16 divisors (see below), whose sum is σ = 131105520. Its totient is φ = 98390016.

The previous prime is 114113933. The next prime is 114114041. The reversal of 114114013 is 310411411.

It can be written as a sum of positive squares in 8 ways, for example, as 3485689 + 110628324 = 1867^2 + 10518^2 .

It is not a de Polignac number, because 114114013 - 2¹³ = 114105821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114114053) 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, 28393 + ... + 32161.

It is an arithmetic number, because the mean of its divisors is an integer number (8194095).

Almost surely, 2^114114013 is an apocalyptic number.

114114013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114114013 is a deficient number, since it is larger than the sum of its proper divisors (16991507).

114114013 is a wasteful number, since it uses less digits than its factorization.

114114013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936.

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 114114013 is about 10682.4160656660. The cubic root of 114114013 is about 485.0423500766.

Adding to 114114013 its reverse (310411411), we get a palindrome (424525424).

The spelling of 114114013 in words is "one hundred fourteen million, one hundred fourteen thousand, thirteen".