213120303111000 has 384 divisors, whose sum is σ = 737444461515840. Its totient is φ = 55498556160000.

The previous prime is 213120303110977. The next prime is 213120303111007. The reversal of 213120303111000 is 111303021312.

213120303111000 is a `hidden beast` number, since 2 + 1 + 312 + 0 + 30 + 311 + 10 + 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 not an unprimeable number, because it can be changed into a prime (213120303111007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64751139 + ... + 67962861.

Almost surely, 2^{213120303111000} is an apocalyptic number.

213120303111000 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 213120303111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368722230757920).

213120303111000 is an abundant number, since it is smaller than the sum of its proper divisors (524324158404840).

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

213120303111000 is a wasteful number, since it uses less digits than its factorization.

213120303111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211924 (or 3211907 counting only the distinct ones).

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

Adding to 213120303111000 its reverse (111303021312), we get a palindrome (213231606132312).

The spelling of 213120303111000 in words is "two hundred thirteen trillion, one hundred twenty billion, three hundred three million, one hundred eleven thousand".