114300013 has 2 divisors, whose sum is σ = 114300014. Its totient is φ = 114300012.

The previous prime is 114299987. The next prime is 114300023. The reversal of 114300013 is 310003411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113486409 + 813604 = 10653^2 + 902^2 .

It is a cyclic number.

It is not a de Polignac number, because 114300013 - 2⁹ = 114299501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114299966 and 114300002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114300023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57150006 + 57150007.

It is an arithmetic number, because the mean of its divisors is an integer number (57150007).

Almost surely, 2^114300013 is an apocalyptic number.

It is an amenable number.

114300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

114300013 is an equidigital number, since it uses as much as digits as its factorization.

114300013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 114300013 is about 10691.1184167046. The cubic root of 114300013 is about 485.3057384261.

Adding to 114300013 its reverse (310003411), we get a palindrome (424303424).

The spelling of 114300013 in words is "one hundred fourteen million, three hundred thousand, thirteen".