213032040320 has 128 divisors (see below), whose sum is σ = 558907776000. Its totient is φ = 77001902080.

The previous prime is 213032040301. The next prime is 213032040349. The reversal of 213032040320 is 23040230312.

213032040320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213032040292 and 213032040301.

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 15 ways as a sum of consecutive naturals, for example, 1085081 + ... + 1266279.

It is an arithmetic number, because the mean of its divisors is an integer number (4366467000).

Almost surely, 2^213032040320 is an apocalyptic number.

213032040320 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 213032040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279453888000).

213032040320 is an abundant number, since it is smaller than the sum of its proper divisors (345875735680).

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

213032040320 is a wasteful number, since it uses less digits than its factorization.

213032040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181396 (or 181384 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 213032040320 its reverse (23040230312), we get a palindrome (236072270632).

The spelling of 213032040320 in words is "two hundred thirteen billion, thirty-two million, forty thousand, three hundred twenty".