213301100201200 has 480 divisors, whose sum is σ = 605506830796800. Its totient is φ = 71381306880000.

The previous prime is 213301100201159. The next prime is 213301100201207. The reversal of 213301100201200 is 2102001103312.

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 (213301100201207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 447272481 + ... + 447749119.

It is an arithmetic number, because the mean of its divisors is an integer number (1261472564160).

Almost surely, 2^{213301100201200} is an apocalyptic number.

213301100201200 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 213301100201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302753415398400).

213301100201200 is an abundant number, since it is smaller than the sum of its proper divisors (392205730595600).

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

213301100201200 is a wasteful number, since it uses less digits than its factorization.

213301100201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476841 (or 476830 counting only the distinct ones).

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

Adding to 213301100201200 its reverse (2102001103312), we get a palindrome (215403101304512).

The spelling of 213301100201200 in words is "two hundred thirteen trillion, three hundred one billion, one hundred million, two hundred one thousand, two hundred".