213311320032 has 48 divisors (see below), whose sum is σ = 566688528000. Its totient is φ = 70247098752.

The previous prime is 213311320031. The next prime is 213311320091. The reversal of 213311320032 is 230023113312.

213311320032 is digitally balanced in base 2 and base 3, because in such bases 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 213311319990 and 213311320008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213311320031) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13377532 + ... + 13393467.

It is an arithmetic number, because the mean of its divisors is an integer number (11806011000).

Almost surely, 2^213311320032 is an apocalyptic number.

It is an amenable number.

213311320032 is an abundant number, since it is smaller than the sum of its proper divisors (353377207968).

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

213311320032 is a wasteful number, since it uses less digits than its factorization.

213311320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26771095 (or 26771087 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213311320032 its reverse (230023113312), we get a palindrome (443334433344).

The spelling of 213311320032 in words is "two hundred thirteen billion, three hundred eleven million, three hundred twenty thousand, thirty-two".