2113133333220 has 288 divisors, whose sum is σ = 7912885344000. Its totient is φ = 444499799040.

The previous prime is 2113133333191. The next prime is 2113133333249. The reversal of 2113133333220 is 223333313112.

2113133333220 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 1 + 3 + 333 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2113133333191) and next prime (2113133333249).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5226906 + ... + 5616654.

Almost surely, 2^{2113133333220} is an apocalyptic number.

2113133333220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113133333220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956442672000).

2113133333220 is an abundant number, since it is smaller than the sum of its proper divisors (5799752010780).

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

2113133333220 is a wasteful number, since it uses less digits than its factorization.

2113133333220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390115 (or 390110 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2113133333220 its reverse (223333313112), we get a palindrome (2336466646332).

The spelling of 2113133333220 in words is "two trillion, one hundred thirteen billion, one hundred thirty-three million, three hundred thirty-three thousand, two hundred twenty".