330034321010133 has 12 divisors (see below), whose sum is σ = 488343466861068. Its totient is φ = 214656468949440.

The previous prime is 330034321010041. The next prime is 330034321010167. The reversal of 330034321010133 is 331010123430033.

330034321010133 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 343 + 210 + 101 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 147520894889124 + 182513426121009 = 12145818^2 + 13509753^2 .

It is not a de Polignac number, because 330034321010133 - 2¹⁴ = 330034320993749 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330034321010097 and 330034321010106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330034321010183) 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, 447200976610 + ... + 447200977347.

It is an arithmetic number, because the mean of its divisors is an integer number (40695288905089).

Almost surely, 2^{330034321010133} is an apocalyptic number.

It is an amenable number.

330034321010133 is a deficient number, since it is larger than the sum of its proper divisors (158309145850935).

330034321010133 is a wasteful number, since it uses less digits than its factorization.

330034321010133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894401954004 (or 894401954001 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 330034321010133 its reverse (331010123430033), we get a palindrome (661044444440166).

The spelling of 330034321010133 in words is "three hundred thirty trillion, thirty-four billion, three hundred twenty-one million, ten thousand, one hundred thirty-three".