114003013 has 2 divisors, whose sum is σ = 114003014. Its totient is φ = 114003012.

The previous prime is 114002989. The next prime is 114003023. The reversal of 114003013 is 310300411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106151809 + 7851204 = 10303^2 + 2802^2 .

It is a cyclic number.

It is not a de Polignac number, because 114003013 - 2⁵ = 114002981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114002984 and 114003002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114003023) 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 as a sum of consecutive naturals, namely, 57001506 + 57001507.

It is an arithmetic number, because the mean of its divisors is an integer number (57001507).

Almost surely, 2^114003013 is an apocalyptic number.

It is an amenable number.

114003013 is a deficient number, since it is larger than the sum of its proper divisors (1).

114003013 is an equidigital number, since it uses as much as digits as its factorization.

114003013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 114003013 is about 10677.2193477515. The cubic root of 114003013 is about 484.8850303175.

Adding to 114003013 its reverse (310300411), we get a palindrome (424303424).

The spelling of 114003013 in words is "one hundred fourteen million, three thousand, thirteen".