330110120133 has 24 divisors (see below), whose sum is σ = 479316493656. Its totient is φ = 218924160000.

The previous prime is 330110120107. The next prime is 330110120141. The reversal of 330110120133 is 331021011033.

It is a happy number.

330110120133 is a `hidden beast` number, since 330 + 1 + 101 + 201 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 469935684 + 329640184449 = 21678^2 + 574143^2 .

It is not a de Polignac number, because 330110120133 - 2⁹ = 330110119621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330110170133) 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 23 ways as a sum of consecutive naturals, for example, 23043613 + ... + 23057933.

It is an arithmetic number, because the mean of its divisors is an integer number (19971520569).

Almost surely, 2^330110120133 is an apocalyptic number.

It is an amenable number.

330110120133 is a deficient number, since it is larger than the sum of its proper divisors (149206373523).

330110120133 is a wasteful number, since it uses less digits than its factorization.

330110120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27525 (or 27522 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 330110120133 its reverse (331021011033), we get a palindrome (661131131166).

The spelling of 330110120133 in words is "three hundred thirty billion, one hundred ten million, one hundred twenty thousand, one hundred thirty-three".