213213203033120 has 96 divisors (see below), whose sum is σ = 506387532349440. Its totient is φ = 84833050946560.

The previous prime is 213213203033099. The next prime is 213213203033137. The reversal of 213213203033120 is 21330302312312.

It is a self number, because there is not a number n which added to its sum of digits gives 213213203033120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469143914 + ... + 469598166.

It is an arithmetic number, because the mean of its divisors is an integer number (5274870128640).

Almost surely, 2^{213213203033120} is an apocalyptic number.

213213203033120 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 213213203033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253193766174720).

213213203033120 is an abundant number, since it is smaller than the sum of its proper divisors (293174329316320).

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

213213203033120 is a wasteful number, since it uses less digits than its factorization.

213213203033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469818 (or 469810 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 213213203033120 its reverse (21330302312312), we get a palindrome (234543505345432).

The spelling of 213213203033120 in words is "two hundred thirteen trillion, two hundred thirteen billion, two hundred three million, thirty-three thousand, one hundred twenty".