330442004031001 has 12 divisors (see below), whose sum is σ = 345973334509312. Its totient is φ = 315278604333000.

The previous prime is 330442004030969. The next prime is 330442004031019. The reversal of 330442004031001 is 100130400244033.

It is not a de Polignac number, because 330442004031001 - 2⁵ = 330442004030969 is a prime.

It is a super-2 number, since 2×330442004031001² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330442004031071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1057116045 + ... + 1057428586.

Almost surely, 2^{330442004031001} is an apocalyptic number.

330442004031001 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

330442004031001 is a deficient number, since it is larger than the sum of its proper divisors (15531330478311).

330442004031001 is an equidigital number, since it uses as much as digits as its factorization.

330442004031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114544804 (or 2114544733 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 330442004031001 its reverse (100130400244033), we get a palindrome (430572404275034).

The spelling of 330442004031001 in words is "three hundred thirty trillion, four hundred forty-two billion, four million, thirty-one thousand, one".