21101313031200 has 432 divisors, whose sum is σ = 77207470671240. Its totient is φ = 5418486005760.

The previous prime is 21101313031177. The next prime is 21101313031217. The reversal of 21101313031200 is 213031310112.

21101313031200 is a `hidden beast` number, since 2 + 110 + 131 + 303 + 120 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 761898545424 + 20339414485776 = 872868^2 + 4509924^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25432506 + ... + 26249094.

Almost surely, 2^{21101313031200} is an apocalyptic number.

21101313031200 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 21101313031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38603735335620).

21101313031200 is an abundant number, since it is smaller than the sum of its proper divisors (56106157640040).

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

21101313031200 is a wasteful number, since it uses less digits than its factorization.

21101313031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816749 (or 816733 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21101313031200 its reverse (213031310112), we get a palindrome (21314344341312).

The spelling of 21101313031200 in words is "twenty-one trillion, one hundred one billion, three hundred thirteen million, thirty-one thousand, two hundred".