213100330020000 has 960 divisors, whose sum is σ = 734596853760000. Its totient is φ = 53970509824000.

The previous prime is 213100330019989. The next prime is 213100330020079. The reversal of 213100330020000 is 20033001312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 148089179281 + ... + 148089180719.

It is an arithmetic number, because the mean of its divisors is an integer number (765205056000).

Almost surely, 2^{213100330020000} is an apocalyptic number.

213100330020000 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 213100330020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367298426880000).

213100330020000 is an abundant number, since it is smaller than the sum of its proper divisors (521496523740000).

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

213100330020000 is a wasteful number, since it uses less digits than its factorization.

213100330020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213100330020000 its reverse (20033001312), we get a palindrome (213120363021312).

The spelling of 213100330020000 in words is "two hundred thirteen trillion, one hundred billion, three hundred thirty million, twenty thousand".