2113303909968 has 100 divisors (see below), whose sum is σ = 6476309680500. Its totient is φ = 662997298176.

The previous prime is 2113303909961. The next prime is 2113303909993. The reversal of 2113303909968 is 8699093033112.

It is a happy number.

2113303909968 is a `hidden beast` number, since 211 + 3 + 30 + 390 + 9 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1975463982144 + 137839927824 = 1405512^2 + 371268^2 .

It is a super-2 number, since 2×2113303909968² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113303909961) 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 19 ways as a sum of consecutive naturals, for example, 47937843 + ... + 47981906.

It is an arithmetic number, because the mean of its divisors is an integer number (64763096805).

Almost surely, 2^{2113303909968} is an apocalyptic number.

It is an amenable number.

2113303909968 is an abundant number, since it is smaller than the sum of its proper divisors (4363005770532).

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

2113303909968 is a wasteful number, since it uses less digits than its factorization.

2113303909968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95919786 (or 95919771 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 2113303909968 in words is "two trillion, one hundred thirteen billion, three hundred three million, nine hundred nine thousand, nine hundred sixty-eight".