2013223012200 has 144 divisors (see below), whose sum is σ = 6763976220300. Its totient is φ = 536629017600.

The previous prime is 2013223012189. The next prime is 2013223012247. The reversal of 2013223012200 is 22103223102.

2013223012200 is a `hidden beast` number, since 20 + 1 + 322 + 301 + 2 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 421250325444 + 1591972686756 = 649038^2 + 1261734^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3974916 + ... + 4452684.

Almost surely, 2^{2013223012200} is an apocalyptic number.

2013223012200 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 2013223012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381988110150).

2013223012200 is an abundant number, since it is smaller than the sum of its proper divisors (4750753208100).

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

2013223012200 is a wasteful number, since it uses less digits than its factorization.

2013223012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480132 (or 480120 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2013223012200 its reverse (22103223102), we get a palindrome (2035326235302).

The spelling of 2013223012200 in words is "two trillion, thirteen billion, two hundred twenty-three million, twelve thousand, two hundred".