331002101333000 has 128 divisors (see below), whose sum is σ = 775436594250240. Its totient is φ = 132248453920000.

The previous prime is 331002101332999. The next prime is 331002101333009. The reversal of 331002101333000 is 333101200133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (331002101333009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9300145205 + ... + 9300180795.

It is an arithmetic number, because the mean of its divisors is an integer number (6058098392580).

Almost surely, 2^{331002101333000} 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 331002101333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387718297125120).

331002101333000 is an abundant number, since it is smaller than the sum of its proper divisors (444434492917240).

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

331002101333000 is a wasteful number, since it uses less digits than its factorization.

331002101333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46056 (or 46042 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 331002101333000 its reverse (333101200133), we get a palindrome (331335202533133).

The spelling of 331002101333000 in words is "three hundred thirty-one trillion, two billion, one hundred one million, three hundred thirty-three thousand".