330333221333133 has 20 divisors (see below), whose sum is σ = 493461250801948. Its totient is φ = 220221918720000.

The previous prime is 330333221333099. The next prime is 330333221333149. The reversal of 330333221333133 is 331333122333033.

It is a happy number.

330333221333133 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 3 + 322 + 13 + 3 + 313 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 224760123968004 + 105573097365129 = 14992002^2 + 10274877^2 .

It is not a de Polignac number, because 330333221333133 - 2¹⁶ = 330333221267597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330333221333153) 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 19 ways as a sum of consecutive naturals, for example, 118297485 + ... + 121057677.

Almost surely, 2^{330333221333133} is an apocalyptic number.

It is an amenable number.

330333221333133 is a deficient number, since it is larger than the sum of its proper divisors (163128029468815).

330333221333133 is a wasteful number, since it uses less digits than its factorization.

330333221333133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237706 (or 4237697 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 36.

Adding to 330333221333133 its reverse (331333122333033), we get a palindrome (661666343666166).

The spelling of 330333221333133 in words is "three hundred thirty trillion, three hundred thirty-three billion, two hundred twenty-one million, three hundred thirty-three thousand, one hundred thirty-three".