329018107201 has 9 divisors (see below), whose sum is σ = 382740020001. Its totient is φ = 282012078852.

The previous prime is 329018107189. The next prime is 329018107237. The reversal of 329018107201 is 102701810923.

The square root of 329018107201 is 573601.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 329018107201 - 2⁹ = 329018106689 is a prime.

It is a super-2 number, since 2×329018107201² (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 (329018107501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3974236 + ... + 4056178.

It is an arithmetic number, because the mean of its divisors is an integer number (42526668889).

Almost surely, 2^329018107201 is an apocalyptic number.

329018107201 is the 573601-st square number.

329018107201 is the 286801-st centered octagonal number.

It is an amenable number.

329018107201 is a deficient number, since it is larger than the sum of its proper divisors (53721912800).

329018107201 is an frugal number, since it uses more digits than its factorization.

329018107201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163900 (or 81950 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 329018107201 in words is "three hundred twenty-nine billion, eighteen million, one hundred seven thousand, two hundred one".