113838013 has 2 divisors, whose sum is σ = 113838014. Its totient is φ = 113838012.

The previous prime is 113838007. The next prime is 113838041. The reversal of 113838013 is 310838311.

It is an a-pointer prime, because the next prime (113838041) can be obtained adding 113838013 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69255684 + 44582329 = 8322^2 + 6677^2 .

It is a cyclic number.

It is not a de Polignac number, because 113838013 - 2⁵ = 113837981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113838073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56919006 + 56919007.

It is an arithmetic number, because the mean of its divisors is an integer number (56919007).

Almost surely, 2^113838013 is an apocalyptic number.

It is an amenable number.

113838013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113838013 is an equidigital number, since it uses as much as digits as its factorization.

113838013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 113838013 is about 10669.4898191057. The cubic root of 113838013 is about 484.6509877913.

The spelling of 113838013 in words is "one hundred thirteen million, eight hundred thirty-eight thousand, thirteen".