2113313423120 has 20 divisors (see below), whose sum is σ = 4913453708940. Its totient is φ = 845325369216.

The previous prime is 2113313423119. The next prime is 2113313423129. The reversal of 2113313423120 is 213243133112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1133466846736 + 979846576384 = 1064644^2 + 989872^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 2113313423120.

It is not an unprimeable number, because it can be changed into a prime (2113313423129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13208208815 + ... + 13208208974.

It is an arithmetic number, because the mean of its divisors is an integer number (245672685447).

Almost surely, 2^{2113313423120} is an apocalyptic number.

2113313423120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113313423120 is an abundant number, since it is smaller than the sum of its proper divisors (2800140285820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2113313423120 is a wasteful number, since it uses less digits than its factorization.

2113313423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26416417802 (or 26416417796 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 2113313423120 its reverse (213243133112), we get a palindrome (2326556556232).

The spelling of 2113313423120 in words is "two trillion, one hundred thirteen billion, three hundred thirteen million, four hundred twenty-three thousand, one hundred twenty".