113120113013 has 8 divisors (see below), whose sum is σ = 113331492120. Its totient is φ = 112908902400.

The previous prime is 113120112953. The next prime is 113120113033. The reversal of 113120113013 is 310311021311.

It can be written as a sum of positive squares in 4 ways, for example, as 239568484 + 112880544529 = 15478^2 + 335977^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113120113013 - 2¹⁰ = 113120111989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113120112982 and 113120113000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113120113033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344131 + ... + 1425807.

It is an arithmetic number, because the mean of its divisors is an integer number (14166436515).

Almost surely, 2^113120113013 is an apocalyptic number.

It is an amenable number.

113120113013 is a deficient number, since it is larger than the sum of its proper divisors (211379107).

113120113013 is an equidigital number, since it uses as much as digits as its factorization.

113120113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84247.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 113120113013 its reverse (310311021311), we get a palindrome (423431134324).

The spelling of 113120113013 in words is "one hundred thirteen billion, one hundred twenty million, one hundred thirteen thousand, thirteen".