10440500113 has 2 divisors, whose sum is σ = 10440500114. Its totient is φ = 10440500112.

The previous prime is 10440500039. The next prime is 10440500149. The reversal of 10440500113 is 31100504401.

10440500113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9802584064 + 637916049 = 99008^2 + 25257^2 .

It is a cyclic number.

It is not a de Polignac number, because 10440500113 - 2¹⁷ = 10440369041 is a prime.

It is not a weakly prime, because it can be changed into another prime (10440500153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5220250056 + 5220250057.

It is an arithmetic number, because the mean of its divisors is an integer number (5220250057).

Almost surely, 2^10440500113 is an apocalyptic number.

It is an amenable number.

10440500113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10440500113 is an equidigital number, since it uses as much as digits as its factorization.

10440500113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The spelling of 10440500113 in words is "ten billion, four hundred forty million, five hundred thousand, one hundred thirteen".