321214133341000 has 32 divisors (see below), whose sum is σ = 751641072020280. Its totient is φ = 128485653336000.

The previous prime is 321214133340983. The next prime is 321214133341067. The reversal of 321214133341000 is 143331412123.

It can be written as a sum of positive squares in 4 ways, for example, as 45429190653924 + 275784942687076 = 6740118^2 + 16606774^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 321214133341000.

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 7 ways as a sum of consecutive naturals, for example, 160607065671 + ... + 160607067670.

Almost surely, 2^{321214133341000} is an apocalyptic number.

It is an amenable number.

321214133341000 is an abundant number, since it is smaller than the sum of its proper divisors (430426938679280).

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

321214133341000 is a wasteful number, since it uses less digits than its factorization.

321214133341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321214133362 (or 321214133348 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 321214133341000 its reverse (143331412123), we get a palindrome (321357464753123).

The spelling of 321214133341000 in words is "three hundred twenty-one trillion, two hundred fourteen billion, one hundred thirty-three million, three hundred forty-one thousand".