213300032120 has 384 divisors, whose sum is σ = 618219993600. Its totient is φ = 65729664000.

The previous prime is 213300032041. The next prime is 213300032129. The reversal of 213300032120 is 21230003312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213300032129) 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, 112203170 + ... + 112205070.

It is an arithmetic number, because the mean of its divisors is an integer number (1609947900).

Almost surely, 2^213300032120 is an apocalyptic number.

213300032120 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 213300032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309109996800).

213300032120 is an abundant number, since it is smaller than the sum of its proper divisors (404919961480).

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

213300032120 is a wasteful number, since it uses less digits than its factorization.

213300032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213300032120 its reverse (21230003312), we get a palindrome (234530035432).

The spelling of 213300032120 in words is "two hundred thirteen billion, three hundred million, thirty-two thousand, one hundred twenty".