2213313030120 has 256 divisors, whose sum is σ = 7241757696000. Its totient is φ = 539099366400.

The previous prime is 2213313030119. The next prime is 2213313030133. The reversal of 2213313030120 is 210303133122.

2213313030120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18954715 + ... + 19071125.

It is an arithmetic number, because the mean of its divisors is an integer number (28288116000).

Almost surely, 2^{2213313030120} is an apocalyptic number.

2213313030120 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 2213313030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620878848000).

2213313030120 is an abundant number, since it is smaller than the sum of its proper divisors (5028444665880).

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

2213313030120 is a wasteful number, since it uses less digits than its factorization.

2213313030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116744 (or 116740 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2213313030120 its reverse (210303133122), we get a palindrome (2423616163242).

The spelling of 2213313030120 in words is "two trillion, two hundred thirteen billion, three hundred thirteen million, thirty thousand, one hundred twenty".