213311300330300 has 288 divisors, whose sum is σ = 502450591104000. Its totient is φ = 78345868723200.

The previous prime is 213311300330291. The next prime is 213311300330329. The reversal of 213311300330300 is 3033003113312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22475108555 + ... + 22475118045.

It is an arithmetic number, because the mean of its divisors is an integer number (1744620108000).

Almost surely, 2^{213311300330300} is an apocalyptic number.

213311300330300 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 213311300330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251225295552000).

213311300330300 is an abundant number, since it is smaller than the sum of its proper divisors (289139290773700).

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

213311300330300 is a wasteful number, since it uses less digits than its factorization.

213311300330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11989 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 213311300330300 its reverse (3033003113312), we get a palindrome (216344303443612).

The spelling of 213311300330300 in words is "two hundred thirteen trillion, three hundred eleven billion, three hundred million, three hundred thirty thousand, three hundred".