213120212320 has 48 divisors (see below), whose sum is σ = 529996325040. Its totient is φ = 80761342464.

The previous prime is 213120212317. The next prime is 213120212323. The reversal of 213120212320 is 23212021312.

It is an interprime number because it is at equal distance from previous prime (213120212317) and next prime (213120212323).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120212323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35049627 + ... + 35055706.

It is an arithmetic number, because the mean of its divisors is an integer number (11041590105).

Almost surely, 2^213120212320 is an apocalyptic number.

213120212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120212320 is an abundant number, since it is smaller than the sum of its proper divisors (316876112720).

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

213120212320 is a wasteful number, since it uses less digits than its factorization.

213120212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70105367 (or 70105359 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213120212320 its reverse (23212021312), we get a palindrome (236332233632).

The spelling of 213120212320 in words is "two hundred thirteen billion, one hundred twenty million, two hundred twelve thousand, three hundred twenty".