331002300132101 has 16 divisors (see below), whose sum is σ = 356820990595440. Its totient is φ = 305234619287040.

The previous prime is 331002300131959. The next prime is 331002300132143. The reversal of 331002300132101 is 101231003200133.

It can be written as a sum of positive squares in 8 ways, for example, as 24025584528100 + 306976715604001 = 4901590^2 + 17520751^2 .

It is a cyclic number.

It is not a de Polignac number, because 331002300132101 - 2¹⁴ = 331002300115717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331002300132191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664316801 + ... + 664814873.

It is an arithmetic number, because the mean of its divisors is an integer number (22301311912215).

Almost surely, 2^{331002300132101} is an apocalyptic number.

It is an amenable number.

331002300132101 is a deficient number, since it is larger than the sum of its proper divisors (25818690463339).

331002300132101 is a wasteful number, since it uses less digits than its factorization.

331002300132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549176.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 331002300132101 its reverse (101231003200133), we get a palindrome (432233303332234).

The spelling of 331002300132101 in words is "three hundred thirty-one trillion, two billion, three hundred million, one hundred thirty-two thousand, one hundred one".