330321313121 has 8 divisors (see below), whose sum is σ = 332152898280. Its totient is φ = 328493112192.

The previous prime is 330321313051. The next prime is 330321313159. The reversal of 330321313121 is 121313123033.

It can be written as a sum of positive squares in 4 ways, for example, as 108540597025 + 221780716096 = 329455^2 + 470936^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 330321313121 - 2¹⁴ = 330321296737 is a prime.

It is a super-2 number, since 2×330321313121² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330321312121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650180 + ... + 1040853.

It is an arithmetic number, because the mean of its divisors is an integer number (41519112285).

Almost surely, 2^330321313121 is an apocalyptic number.

It is an amenable number.

330321313121 is a deficient number, since it is larger than the sum of its proper divisors (1831585159).

330321313121 is a wasteful number, since it uses less digits than its factorization.

330321313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692115.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 330321313121 its reverse (121313123033), we get a palindrome (451634436154).

The spelling of 330321313121 in words is "three hundred thirty billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred twenty-one".