113424432321013 has 12 divisors (see below), whose sum is σ = 124673402156940. Its totient is φ = 103112900454080.

The previous prime is 113424432320987. The next prime is 113424432321029. The reversal of 113424432321013 is 310123234424311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25496622138724 + 87927810182289 = 5049418^2 + 9376983^2 .

It is not a de Polignac number, because 113424432321013 - 2¹⁷ = 113424432189941 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113424432321013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113424432321313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90369831 + ... + 91616347.

It is an arithmetic number, because the mean of its divisors is an integer number (10389450179745).

Almost surely, 2^{113424432321013} is an apocalyptic number.

It is an amenable number.

113424432321013 is a deficient number, since it is larger than the sum of its proper divisors (11248969835927).

113424432321013 is a wasteful number, since it uses less digits than its factorization.

113424432321013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998548 (or 1998537 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 113424432321013 its reverse (310123234424311), we get a palindrome (423547666745324).

The spelling of 113424432321013 in words is "one hundred thirteen trillion, four hundred twenty-four billion, four hundred thirty-two million, three hundred twenty-one thousand, thirteen".