321331101120033 has 16 divisors (see below), whose sum is σ = 453668249842560. Its totient is φ = 201608695593216.

The previous prime is 321331101119927. The next prime is 321331101120109. The reversal of 321331101120033 is 330021101133123.

It is not a de Polignac number, because 321331101120033 - 2¹⁰ = 321331101119009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321331101119985 and 321331101120012.

It is not an unprimeable number, because it can be changed into a prime (321331101170033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168084493 + ... + 169985466.

It is an arithmetic number, because the mean of its divisors is an integer number (28354265615160).

Almost surely, 2^{321331101120033} is an apocalyptic number.

It is an amenable number.

321331101120033 is a deficient number, since it is larger than the sum of its proper divisors (132337148722527).

321331101120033 is a wasteful number, since it uses less digits than its factorization.

321331101120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338088616.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 321331101120033 its reverse (330021101133123), we get a palindrome (651352202253156).

The spelling of 321331101120033 in words is "three hundred twenty-one trillion, three hundred thirty-one billion, one hundred one million, one hundred twenty thousand, thirty-three".