213001232220000 has 1440 divisors, whose sum is σ = 927051706893312. Its totient is φ = 45310358016000.

The previous prime is 213001232219939. The next prime is 213001232220013. The reversal of 213001232220000 is 22232100312.

213001232220000 is a `hidden beast` number, since 2 + 130 + 0 + 12 + 322 + 200 + 0 + 0 = 666.

213001232220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×213001232220000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1072160677 + ... + 1072359323.

Almost surely, 2^{213001232220000} is an apocalyptic number.

213001232220000 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 213001232220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463525853446656).

213001232220000 is an abundant number, since it is smaller than the sum of its proper divisors (714050474673312).

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

213001232220000 is a wasteful number, since it uses less digits than its factorization.

213001232220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198750 (or 198724 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213001232220000 its reverse (22232100312), we get a palindrome (213023464320312).

The spelling of 213001232220000 in words is "two hundred thirteen trillion, one billion, two hundred thirty-two million, two hundred twenty thousand".