213000320212000 has 96 divisors (see below), whose sum is σ = 541388055564720. Its totient is φ = 82262192588800.

The previous prime is 213000320211997. The next prime is 213000320212049. The reversal of 213000320212000 is 212023000312.

It can be written as a sum of positive squares in 8 ways, for example, as 20091443593104 + 192908876618896 = 4482348^2 + 13889164^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917988829 + ... + 918220828.

Almost surely, 2^{213000320212000} is an apocalyptic number.

213000320212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213000320212000 is an abundant number, since it is smaller than the sum of its proper divisors (328387735352720).

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

213000320212000 is a wasteful number, since it uses less digits than its factorization.

213000320212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836209711 (or 1836209693 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213000320212000 its reverse (212023000312), we get a palindrome (213212343212312).

The spelling of 213000320212000 in words is "two hundred thirteen trillion, three hundred twenty million, two hundred twelve thousand".