330000001011001 has 12 divisors (see below), whose sum is σ = 350580701778012. Its totient is φ = 310564254629888.

The previous prime is 330000001010963. The next prime is 330000001011029. The reversal of 330000001011001 is 100110100000033.

It can be written as a sum of positive squares in 6 ways, for example, as 26889254685225 + 303110746325776 = 5185485^2 + 17410076^2 .

It is a de Polignac number, because none of the positive numbers 2^k-330000001011001 is a prime.

It is a super-2 number, since 2×330000001011001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330004001011001) 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, 40333960 + ... + 47820793.

It is an arithmetic number, because the mean of its divisors is an integer number (29215058481501).

Almost surely, 2^{330000001011001} is an apocalyptic number.

It is an amenable number.

330000001011001 is a deficient number, since it is larger than the sum of its proper divisors (20580700767011).

330000001011001 is a wasteful number, since it uses less digits than its factorization.

330000001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88167740 (or 88167723 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 330000001011001 its reverse (100110100000033), we get a palindrome (430110101011034).

The spelling of 330000001011001 in words is "three hundred thirty trillion, one million, eleven thousand, one".