331002130031320 has 256 divisors, whose sum is σ = 842425780446720. Its totient is φ = 115987985510400.

The previous prime is 331002130031207. The next prime is 331002130031333. The reversal of 331002130031320 is 23130031200133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 331002130031291 and 331002130031300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7736022967 + ... + 7736065753.

It is an arithmetic number, because the mean of its divisors is an integer number (3290725704870).

Almost surely, 2^{331002130031320} 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 331002130031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421212890223360).

331002130031320 is an abundant number, since it is smaller than the sum of its proper divisors (511423650415400).

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

331002130031320 is a wasteful number, since it uses less digits than its factorization.

331002130031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47394 (or 47390 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 331002130031320 its reverse (23130031200133), we get a palindrome (354132161231453).

The spelling of 331002130031320 in words is "three hundred thirty-one trillion, two billion, one hundred thirty million, thirty-one thousand, three hundred twenty".