213023333120 has 288 divisors, whose sum is σ = 558192624192. Its totient is φ = 77422657536.

The previous prime is 213023333101. The next prime is 213023333141. The reversal of 213023333120 is 21333320312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362901467 + ... + 362902053.

It is an arithmetic number, because the mean of its divisors is an integer number (1938168834).

Almost surely, 2^213023333120 is an apocalyptic number.

213023333120 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 213023333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279096312096).

213023333120 is an abundant number, since it is smaller than the sum of its proper divisors (345169291072).

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

213023333120 is a wasteful number, since it uses less digits than its factorization.

213023333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 213023333120 its reverse (21333320312), we get a palindrome (234356653432).

The spelling of 213023333120 in words is "two hundred thirteen billion, twenty-three million, three hundred thirty-three thousand, one hundred twenty".