113488013 has 2 divisors, whose sum is σ = 113488014. Its totient is φ = 113488012.

The previous prime is 113487989. The next prime is 113488019. The reversal of 113488013 is 310884311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67207204 + 46280809 = 8198^2 + 6803^2 .

It is an emirp because it is prime and its reverse (310884311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113488013 - 2⁶ = 113487949 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113488019) 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, 56744006 + 56744007.

It is an arithmetic number, because the mean of its divisors is an integer number (56744007).

Almost surely, 2^113488013 is an apocalyptic number.

It is an amenable number.

113488013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113488013 is an equidigital number, since it uses as much as digits as its factorization.

113488013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 113488013 is about 10653.0752836916. The cubic root of 113488013 is about 484.1537842604.

The spelling of 113488013 in words is "one hundred thirteen million, four hundred eighty-eight thousand, thirteen".