213320403420 has 96 divisors (see below), whose sum is σ = 620616729600. Its totient is φ = 54681817344.

The previous prime is 213320403367. The next prime is 213320403437. The reversal of 213320403420 is 24304023312.

213320403420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124941 + ... + 665019.

It is an arithmetic number, because the mean of its divisors is an integer number (6464757600).

Almost surely, 2^213320403420 is an apocalyptic number.

213320403420 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 213320403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310308364800).

213320403420 is an abundant number, since it is smaller than the sum of its proper divisors (407296326180).

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

213320403420 is a wasteful number, since it uses less digits than its factorization.

213320403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540347 (or 540345 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 213320403420 its reverse (24304023312), we get a palindrome (237624426732).

The spelling of 213320403420 in words is "two hundred thirteen billion, three hundred twenty million, four hundred three thousand, four hundred twenty".