201213113200 has 120 divisors (see below), whose sum is σ = 529228020096. Its totient is φ = 72909408000.

The previous prime is 201213113183. The next prime is 201213113209. The reversal of 201213113200 is 2311312102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201213113209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164405 + ... + 1325995.

Almost surely, 2^201213113200 is an apocalyptic number.

201213113200 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 201213113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264614010048).

201213113200 is an abundant number, since it is smaller than the sum of its proper divisors (328014906896).

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

201213113200 is a wasteful number, since it uses less digits than its factorization.

201213113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161903 (or 161892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 201213113200 its reverse (2311312102), we get a palindrome (203524425302).

It can be divided in two parts, 201213 and 113200, that added together give a palindrome (314413).

The spelling of 201213113200 in words is "two hundred one billion, two hundred thirteen million, one hundred thirteen thousand, two hundred".