213552200000 has 84 divisors (see below), whose sum is σ = 529676153244. Its totient is φ = 85420800000.

The previous prime is 213552199979. The next prime is 213552200009. The reversal of 213552200000 is 2255312.

213552200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 197975163136 + 15577036864 = 444944^2 + 124808^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213552200009) 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 11 ways as a sum of consecutive naturals, for example, 333881 + ... + 733880.

It is an arithmetic number, because the mean of its divisors is an integer number (6305668491).

Almost surely, 2^213552200000 is an apocalyptic number.

213552200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213552200000 is an abundant number, since it is smaller than the sum of its proper divisors (316123953244).

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

213552200000 is an frugal number, since it uses more digits than its factorization.

213552200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067798 (or 1067768 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 213552200000 its reverse (2255312), we get a palindrome (213554455312).

The spelling of 213552200000 in words is "two hundred thirteen billion, five hundred fifty-two million, two hundred thousand".