331002101042320 has 80 divisors (see below), whose sum is σ = 774991547187840. Its totient is φ = 131470515072000.

The previous prime is 331002101042311. The next prime is 331002101042399. The reversal of 331002101042320 is 23240101200133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 331002101042291 and 331002101042300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24133180 + ... + 35276260.

It is an arithmetic number, because the mean of its divisors is an integer number (9687394339848).

Almost surely, 2^{331002101042320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331002101042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387495773593920).

331002101042320 is an abundant number, since it is smaller than the sum of its proper divisors (443989446145520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331002101042320 is a wasteful number, since it uses less digits than its factorization.

331002101042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11145704 (or 11145698 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 331002101042320 its reverse (23240101200133), we get a palindrome (354242202242453).

The spelling of 331002101042320 in words is "three hundred thirty-one trillion, two billion, one hundred one million, forty-two thousand, three hundred twenty".