3321000001233 has 12 divisors (see below), whose sum is σ = 5079176472708. Its totient is φ = 2083764706560.

The previous prime is 3321000001169. The next prime is 3321000001237.

3321000001233 is a `hidden beast` number, since 332 + 100 + 0 + 0 + 0 + 1 + 233 = 666.

3321000001233 is nontrivially palindromic in base 10.

3321000001233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 946528572609 + 2374471428624 = 972897^2 + 1540932^2 .

It is not a de Polignac number, because 3321000001233 - 2⁶ = 3321000001169 is a prime.

It is a super-2 number, since 2×3321000001233² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3321000001237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10852941028 + ... + 10852941333.

It is an arithmetic number, because the mean of its divisors is an integer number (423264706059).

Almost surely, 2^{3321000001233} is an apocalyptic number.

It is an amenable number.

3321000001233 is a deficient number, since it is larger than the sum of its proper divisors (1758176471475).

3321000001233 is a wasteful number, since it uses less digits than its factorization.

3321000001233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21705882384 (or 21705882381 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 332100000 and 1233, that added together give a palindrome (332101233).

The spelling of 3321000001233 in words is "three trillion, three hundred twenty-one billion, one thousand, two hundred thirty-three".