2213113301120 has 256 divisors, whose sum is σ = 5941374727680. Its totient is φ = 783877079040.

The previous prime is 2213113301107. The next prime is 2213113301237. The reversal of 2213113301120 is 211033113122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2213113301092 and 2213113301101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15192149 + ... + 15337131.

It is an arithmetic number, because the mean of its divisors is an integer number (23208495030).

Almost surely, 2^{2213113301120} is an apocalyptic number.

2213113301120 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 2213113301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970687363840).

2213113301120 is an abundant number, since it is smaller than the sum of its proper divisors (3728261426560).

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

2213113301120 is a wasteful number, since it uses less digits than its factorization.

2213113301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145103 (or 145091 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2213113301120 its reverse (211033113122), we get a palindrome (2424146414242).

The spelling of 2213113301120 in words is "two trillion, two hundred thirteen billion, one hundred thirteen million, three hundred one thousand, one hundred twenty".