114131313 has 48 divisors (see below), whose sum is σ = 178723584. Its totient is φ = 70012800.

The previous prime is 114131291. The next prime is 114131321. The reversal of 114131313 is 313131411.

It is not a de Polignac number, because 114131313 - 2¹⁴ = 114114929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114131333) 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 47 ways as a sum of consecutive naturals, for example, 1108020 + ... + 1108122.

It is an arithmetic number, because the mean of its divisors is an integer number (3723408).

Almost surely, 2^114131313 is an apocalyptic number.

It is an amenable number.

114131313 is a deficient number, since it is larger than the sum of its proper divisors (64592271).

114131313 is a wasteful number, since it uses less digits than its factorization.

114131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 283 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 114131313 is about 10683.2257768897. The cubic root of 114131313 is about 485.0668600920.

Adding to 114131313 its reverse (313131411), we get a palindrome (427262724).

The spelling of 114131313 in words is "one hundred fourteen million, one hundred thirty-one thousand, three hundred thirteen".