331002112241000 has 128 divisors (see below), whose sum is σ = 775695745188000. Its totient is φ = 132204203827200.

The previous prime is 331002112240979. The next prime is 331002112241077. The reversal of 331002112241000 is 142211200133.

It can be written as a sum of positive squares in 16 ways, for example, as 3244616843524 + 327757495397476 = 1801282^2 + 18104074^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3625507352 + ... + 3625598648.

Almost surely, 2^{331002112241000} 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 331002112241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387847872594000).

331002112241000 is an abundant number, since it is smaller than the sum of its proper divisors (444693632947000).

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

331002112241000 is a wasteful number, since it uses less digits than its factorization.

331002112241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96664 (or 96650 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 331002112241000 its reverse (142211200133), we get a palindrome (331144323441133).

The spelling of 331002112241000 in words is "three hundred thirty-one trillion, two billion, one hundred twelve million, two hundred forty-one thousand".