213291371600 has 30 divisors (see below), whose sum is σ = 512432521230. Its totient is φ = 85316548480.

The previous prime is 213291371599. The next prime is 213291371609. The reversal of 213291371600 is 6173192312.

It can be written as a sum of positive squares in 3 ways, for example, as 6270016 + 213285101584 = 2504^2 + 461828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213291371609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 266613815 + ... + 266614614.

It is an arithmetic number, because the mean of its divisors is an integer number (17081084041).

Almost surely, 2^213291371600 is an apocalyptic number.

213291371600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213291371600 is an abundant number, since it is smaller than the sum of its proper divisors (299141149630).

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

213291371600 is a wasteful number, since it uses less digits than its factorization.

213291371600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533228447 (or 533228436 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 213291371600 in words is "two hundred thirteen billion, two hundred ninety-one million, three hundred seventy-one thousand, six hundred".