2113321331120 has 80 divisors (see below), whose sum is σ = 5173063069440. Its totient is φ = 800684704512.

The previous prime is 2113321331119. The next prime is 2113321331129. The reversal of 2113321331120 is 211331233112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2113321331120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2113321331129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7997429 + ... + 8257451.

It is an arithmetic number, because the mean of its divisors is an integer number (64663288368).

Almost surely, 2^{2113321331120} is an apocalyptic number.

2113321331120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113321331120 is an abundant number, since it is smaller than the sum of its proper divisors (3059741738320).

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

2113321331120 is a wasteful number, since it uses less digits than its factorization.

2113321331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265402 (or 265396 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 2113321331120 its reverse (211331233112), we get a palindrome (2324652564232).

The spelling of 2113321331120 in words is "two trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty".