21313123210200 has 384 divisors, whose sum is σ = 67815622379520. Its totient is φ = 5534682316800.

The previous prime is 21313123210199. The next prime is 21313123210271. The reversal of 21313123210200 is 201232131312.

It is a congruent number.

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, 5657848717 + ... + 5657852483.

It is an arithmetic number, because the mean of its divisors is an integer number (176603183280).

Almost surely, 2^{21313123210200} is an apocalyptic number.

21313123210200 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 21313123210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33907811189760).

21313123210200 is an abundant number, since it is smaller than the sum of its proper divisors (46502499169320).

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

21313123210200 is a wasteful number, since it uses less digits than its factorization.

21313123210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21313123210200 its reverse (201232131312), we get a palindrome (21514355341512).

The spelling of 21313123210200 in words is "twenty-one trillion, three hundred thirteen billion, one hundred twenty-three million, two hundred ten thousand, two hundred".