321134312033 has 8 divisors (see below), whose sum is σ = 343845068040. Its totient is φ = 298848056320.

The previous prime is 321134312027. The next prime is 321134312053. The reversal of 321134312033 is 330213431123.

It can be written as a sum of positive squares in 4 ways, for example, as 70030095424 + 251104216609 = 264632^2 + 501103^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 321134312033 - 2⁴ = 321134312017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321134311993 and 321134312011.

It is not an unprimeable number, because it can be changed into a prime (321134312053) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 106123508 + ... + 106126533.

It is an arithmetic number, because the mean of its divisors is an integer number (42980633505).

Almost surely, 2^321134312033 is an apocalyptic number.

It is an amenable number.

321134312033 is a deficient number, since it is larger than the sum of its proper divisors (22710756007).

321134312033 is a wasteful number, since it uses less digits than its factorization.

321134312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212250147.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 321134312033 its reverse (330213431123), we get a palindrome (651347743156).

The spelling of 321134312033 in words is "three hundred twenty-one billion, one hundred thirty-four million, three hundred twelve thousand, thirty-three".