329000111101001 has 8 divisors (see below), whose sum is σ = 333683972280360. Its totient is φ = 324338188382208.

The previous prime is 329000111100971. The next prime is 329000111101007. The reversal of 329000111101001 is 100101111000923.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12390935045776 + 316609176055225 = 3520076^2 + 17793515^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-329000111101001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329000111101007) 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, 5484584936 + ... + 5484644921.

It is an arithmetic number, because the mean of its divisors is an integer number (41710496535045).

Almost surely, 2^{329000111101001} is an apocalyptic number.

It is an amenable number.

329000111101001 is a deficient number, since it is larger than the sum of its proper divisors (4683861179359).

329000111101001 is a wasteful number, since it uses less digits than its factorization.

329000111101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10969230283.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 329000111101001 its reverse (100101111000923), we get a palindrome (429101222101924).

The spelling of 329000111101001 in words is "three hundred twenty-nine trillion, one hundred eleven million, one hundred one thousand, one".