2213311122300 has 144 divisors (see below), whose sum is σ = 6788288959200. Its totient is φ = 554863165440.

The previous prime is 2213311122233. The next prime is 2213311122313. The reversal of 2213311122300 is 32211133122.

It is a super-2 number, since 2×2213311122300² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4225276 + ... + 4720124.

It is an arithmetic number, because the mean of its divisors is an integer number (47140895550).

Almost surely, 2^{2213311122300} is an apocalyptic number.

2213311122300 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 2213311122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394144479600).

2213311122300 is an abundant number, since it is smaller than the sum of its proper divisors (4574977836900).

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

2213311122300 is a wasteful number, since it uses less digits than its factorization.

2213311122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495760 (or 495753 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2213311122300 its reverse (32211133122), we get a palindrome (2245522255422).

The spelling of 2213311122300 in words is "two trillion, two hundred thirteen billion, three hundred eleven million, one hundred twenty-two thousand, three hundred".