330000000033 has 32 divisors (see below), whose sum is σ = 484906713984. Its totient is φ = 197956800000.

The previous prime is 329999999993. The next prime is 330000000037.

330000000033 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-330000000033 is a prime.

It is a Curzon number.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 329999999946 and 330000000018.

It is not an unprimeable number, because it can be changed into a prime (330000000037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11788173 + ... + 11816133.

It is an arithmetic number, because the mean of its divisors is an integer number (15153334812).

Almost surely, 2^330000000033 is an apocalyptic number.

330000000033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330000000033 is a deficient number, since it is larger than the sum of its proper divisors (154906713951).

330000000033 is a wasteful number, since it uses less digits than its factorization.

330000000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31617.

The product of its (nonzero) digits is 81, while the sum is 12.

It can be divided in two parts, 3300000000 and 33, that multiplied together give a square (108900000000 = 330000²).

The spelling of 330000000033 in words is "three hundred thirty billion, thirty-three", and thus it is an aban number.