113013123414113 has 8 divisors (see below), whose sum is σ = 122324239793448. Its totient is φ = 103790264062464.

The previous prime is 113013123414049. The next prime is 113013123414133. The reversal of 113013123414113 is 311414321310311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11340345856849 + 101672777557264 = 3367543^2 + 10083292^2 .

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 113013123414113 - 2⁶ = 113013123414049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113013123414133) 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, 22064254256 + ... + 22064259377.

It is an arithmetic number, because the mean of its divisors is an integer number (15290529974181).

Almost surely, 2^{113013123414113} is an apocalyptic number.

113013123414113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113013123414113 is a deficient number, since it is larger than the sum of its proper divisors (9311116379335).

113013123414113 is a wasteful number, since it uses less digits than its factorization.

113013123414113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44128513843.

The product of its (nonzero) digits is 2592, while the sum is 29.

Adding to 113013123414113 its reverse (311414321310311), we get a palindrome (424427444724424).

The spelling of 113013123414113 in words is "one hundred thirteen trillion, thirteen billion, one hundred twenty-three million, four hundred fourteen thousand, one hundred thirteen".