331002113311320 has 256 divisors, whose sum is σ = 1106358617548800. Its totient is φ = 78533477007360.

The previous prime is 331002113311307. The next prime is 331002113311327. The reversal of 331002113311320 is 23113311200133.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331002113311327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4065874776 + ... + 4065956184.

It is an arithmetic number, because the mean of its divisors is an integer number (4321713349800).

Almost surely, 2^{331002113311320} is an apocalyptic number.

331002113311320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331002113311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553179308774400).

331002113311320 is an abundant number, since it is smaller than the sum of its proper divisors (775356504237480).

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

331002113311320 is a wasteful number, since it uses less digits than its factorization.

331002113311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147018 (or 147014 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 331002113311320 its reverse (23113311200133), we get a palindrome (354115424511453).

The spelling of 331002113311320 in words is "three hundred thirty-one trillion, two billion, one hundred thirteen million, three hundred eleven thousand, three hundred twenty".