330310220201001 has 12 divisors (see below), whose sum is σ = 477388808923780. Its totient is φ = 220080330508320.

The previous prime is 330310220200981. The next prime is 330310220201021. The reversal of 330310220201001 is 100102022013033.

330310220201001 is a `hidden beast` number, since 3 + 30 + 310 + 220 + 2 + 0 + 100 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (330310220200981) and next prime (330310220201021).

It can be written as a sum of positive squares in 2 ways, for example, as 78665901584400 + 251644318616601 = 8869380^2 + 15863301^2 .

It is not a de Polignac number, because 330310220201001 - 2³⁰ = 330309146459177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330310220201021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10540230046 + ... + 10540261383.

Almost surely, 2^{330310220201001} is an apocalyptic number.

It is an amenable number.

330310220201001 is a deficient number, since it is larger than the sum of its proper divisors (147078588722779).

330310220201001 is a wasteful number, since it uses less digits than its factorization.

330310220201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21080493176 (or 21080493173 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330310220201001 its reverse (100102022013033), we get a palindrome (430412242214034).

The spelling of 330310220201001 in words is "three hundred thirty trillion, three hundred ten billion, two hundred twenty million, two hundred one thousand, one".