213213311100000 has 360 divisors, whose sum is σ = 783767897112816. Its totient is φ = 56856880800000.

The previous prime is 213213311099917. The next prime is 213213311100043. The reversal of 213213311100000 is 1113312312.

213213311100000 is a `hidden beast` number, since 2 + 1 + 321 + 331 + 1 + 10 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5061316 + ... + 21261315.

Almost surely, 2^{213213311100000} is an apocalyptic number.

213213311100000 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 213213311100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391883948556408).

213213311100000 is an abundant number, since it is smaller than the sum of its proper divisors (570554586012816).

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

213213311100000 is an frugal number, since it uses more digits than its factorization.

213213311100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26322678 (or 26322641 counting only the distinct ones).

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

Adding to 213213311100000 its reverse (1113312312), we get a palindrome (213214424412312).

The spelling of 213213311100000 in words is "two hundred thirteen trillion, two hundred thirteen billion, three hundred eleven million, one hundred thousand".