213322120340 has 384 divisors, whose sum is σ = 568763596800. Its totient is φ = 66924748800.

The previous prime is 213322120339. The next prime is 213322120343. The reversal of 213322120340 is 43021223312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213322120343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1116869645 + ... + 1116869835.

It is an arithmetic number, because the mean of its divisors is an integer number (1481155200).

Almost surely, 2^213322120340 is an apocalyptic number.

213322120340 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 213322120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284381798400).

213322120340 is an abundant number, since it is smaller than the sum of its proper divisors (355441476460).

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

213322120340 is a wasteful number, since it uses less digits than its factorization.

213322120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 213322120340 its reverse (43021223312), we get a palindrome (256343343652).

The spelling of 213322120340 in words is "two hundred thirteen billion, three hundred twenty-two million, one hundred twenty thousand, three hundred forty".