330113130111011 has 16 divisors (see below), whose sum is σ = 356363344948800. Its totient is φ = 303985961009280.

The previous prime is 330113130110963. The next prime is 330113130111041. The reversal of 330113130111011 is 110111031311033.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-330113130111011 is a prime.

It is a super-3 number, since 3×330113130111011³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330113130111041) 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 15 ways as a sum of consecutive naturals, for example, 622736 + ... + 25702413.

It is an arithmetic number, because the mean of its divisors is an integer number (22272709059300).

Almost surely, 2^{330113130111011} is an apocalyptic number.

330113130111011 is a deficient number, since it is larger than the sum of its proper divisors (26250214837789).

330113130111011 is a wasteful number, since it uses less digits than its factorization.

330113130111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26327486.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 330113130111011 its reverse (110111031311033), we get a palindrome (440224161422044).

The spelling of 330113130111011 in words is "three hundred thirty trillion, one hundred thirteen billion, one hundred thirty million, one hundred eleven thousand, eleven".