330130313123121 has 48 divisors (see below), whose sum is σ = 607404733603200. Its totient is φ = 168204387746304.

The previous prime is 330130313123089. The next prime is 330130313123147. The reversal of 330130313123121 is 121321313031033.

330130313123121 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 3 + 0 + 31 + 312 + 312 + 1 = 666.

It is not a de Polignac number, because 330130313123121 - 2⁵ = 330130313123089 is a prime.

It is a super-3 number, since 3×330130313123121³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (330130313133121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8111688166 + ... + 8111728863.

It is an arithmetic number, because the mean of its divisors is an integer number (12654265283400).

Almost surely, 2^{330130313123121} is an apocalyptic number.

It is an amenable number.

330130313123121 is a deficient number, since it is larger than the sum of its proper divisors (277274420480079).

330130313123121 is a wasteful number, since it uses less digits than its factorization.

330130313123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16223417078 (or 16223417075 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 330130313123121 its reverse (121321313031033), we get a palindrome (451451626154154).

The spelling of 330130313123121 in words is "three hundred thirty trillion, one hundred thirty billion, three hundred thirteen million, one hundred twenty-three thousand, one hundred twenty-one".