321213141200033 has 16 divisors (see below), whose sum is σ = 327612661399296. Its totient is φ = 314826241416960.

The previous prime is 321213141199999. The next prime is 321213141200167. The reversal of 321213141200033 is 330002141312123.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 321213141200033 - 2³⁰ = 321212067458209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321213141199975 and 321213141200011.

It is not an unprimeable number, because it can be changed into a prime (321213149200033) 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 15 ways as a sum of consecutive naturals, for example, 492730985 + ... + 493382457.

It is an arithmetic number, because the mean of its divisors is an integer number (20475791337456).

Almost surely, 2^{321213141200033} is an apocalyptic number.

It is an amenable number.

321213141200033 is a deficient number, since it is larger than the sum of its proper divisors (6399520199263).

321213141200033 is a wasteful number, since it uses less digits than its factorization.

321213141200033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661144.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 321213141200033 its reverse (330002141312123), we get a palindrome (651215282512156).

The spelling of 321213141200033 in words is "three hundred twenty-one trillion, two hundred thirteen billion, one hundred forty-one million, two hundred thousand, thirty-three".