2013211200 has 672 divisors, whose sum is σ = 8889431040. Its totient is φ = 385228800.

The previous prime is 2013211199. The next prime is 2013211223. The reversal of 2013211200 is 21123102.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4804591 + ... + 4805009.

It is an arithmetic number, because the mean of its divisors is an integer number (13228320).

Almost surely, 2^2013211200 is an apocalyptic number.

2013211200 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 2013211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444715520).

2013211200 is an abundant number, since it is smaller than the sum of its proper divisors (6876219840).

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

2013211200 is a wasteful number, since it uses less digits than its factorization.

2013211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2013211200 is about 44868.8221374263. The cubic root of 2013211200 is about 1262.6891420050.

Adding to 2013211200 its reverse (21123102), we get a palindrome (2034334302).

The spelling of 2013211200 in words is "two billion, thirteen million, two hundred eleven thousand, two hundred".