114113 has 2 divisors, whose sum is σ = 114114. Its totient is φ = 114112.

The previous prime is 114089. The next prime is 114143. The reversal of 114113 is 311411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69169 + 44944 = 263^2 + 212^2 .

It is a cyclic number.

It is not a de Polignac number, because 114113 - 2¹⁰ = 113089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114094 and 114103.

It is not a weakly prime, because it can be changed into another prime (114143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57056 + 57057.

It is an arithmetic number, because the mean of its divisors is an integer number (57057).

2¹¹⁴¹¹³ is an apocalyptic number.

It is an amenable number.

114113 is a deficient number, since it is larger than the sum of its proper divisors (1).

114113 is an equidigital number, since it uses as much as digits as its factorization.

114113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12, while the sum is 11.

The square root of 114113 is about 337.8061574335. The cubic root of 114113 is about 48.5040914818.

Adding to 114113 its reverse (311411), we get a palindrome (425524).

The spelling of 114113 in words is "one hundred fourteen thousand, one hundred thirteen".