2013202133200 has 120 divisors (see below), whose sum is σ = 4857963400800. Its totient is φ = 801747770880.

The previous prime is 2013202133183. The next prime is 2013202133221. The reversal of 2013202133200 is 23312023102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185389371 + ... + 185400229.

It is an arithmetic number, because the mean of its divisors is an integer number (40483028340).

Almost surely, 2^{2013202133200} is an apocalyptic number.

2013202133200 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 2013202133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428981700400).

2013202133200 is an abundant number, since it is smaller than the sum of its proper divisors (2844761267600).

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

2013202133200 is a wasteful number, since it uses less digits than its factorization.

2013202133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12869 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2013202133200 its reverse (23312023102), we get a palindrome (2036514156302).

The spelling of 2013202133200 in words is "two trillion, thirteen billion, two hundred two million, one hundred thirty-three thousand, two hundred".