213113120220000 has 4320 divisors, whose sum is σ = 1050451394952960. Its totient is φ = 39755888640000.

The previous prime is 213113120219977. The next prime is 213113120220017. The reversal of 213113120220000 is 22021311312.

213113120220000 is a `hidden beast` number, since 2 + 131 + 1 + 312 + 0 + 220 + 0 + 0 + 0 = 666.

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 719 ways as a sum of consecutive naturals, for example, 86666578771 + ... + 86666581229.

It is an arithmetic number, because the mean of its divisors is an integer number (243160045128).

Almost surely, 2^{213113120220000} is an apocalyptic number.

213113120220000 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 213113120220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525225697476480).

213113120220000 is an abundant number, since it is smaller than the sum of its proper divisors (837338274732960).

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

213113120220000 is a wasteful number, since it uses less digits than its factorization.

213113120220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213113120220000 its reverse (22021311312), we get a palindrome (213135141531312).

The spelling of 213113120220000 in words is "two hundred thirteen trillion, one hundred thirteen billion, one hundred twenty million, two hundred twenty thousand".