2213113300020 has 288 divisors, whose sum is σ = 7958374115328. Its totient is φ = 505721273472.

The previous prime is 2213113299977. The next prime is 2213113300037. The reversal of 2213113300020 is 200033113122.

2213113300020 is a `hidden beast` number, since 2 + 2 + 1 + 311 + 330 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2213113299966 and 2213113300002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193329937 + ... + 193341383.

It is an arithmetic number, because the mean of its divisors is an integer number (27633243456).

Almost surely, 2^{2213113300020} is an apocalyptic number.

2213113300020 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 2213113300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979187057664).

2213113300020 is an abundant number, since it is smaller than the sum of its proper divisors (5745260815308).

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

2213113300020 is a wasteful number, since it uses less digits than its factorization.

2213113300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17161 (or 17147 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2213113300020 its reverse (200033113122), we get a palindrome (2413146413142).

The spelling of 2213113300020 in words is "two trillion, two hundred thirteen billion, one hundred thirteen million, three hundred thousand, twenty".