331001033332002 has 128 divisors (see below), whose sum is σ = 730655704350720. Its totient is φ = 99131967728640.

The previous prime is 331001033331961. The next prime is 331001033332033. The reversal of 331001033332002 is 200233330100133.

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, 9649314783 + ... + 9649349085.

It is an arithmetic number, because the mean of its divisors is an integer number (5708247690240).

Almost surely, 2^{331001033332002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331001033332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365327852175360).

331001033332002 is an abundant number, since it is smaller than the sum of its proper divisors (399654671018718).

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

331001033332002 is a wasteful number, since it uses less digits than its factorization.

331001033332002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38088.

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 331001033332002 its reverse (200233330100133), we get a palindrome (531234363432135).

The spelling of 331001033332002 in words is "three hundred thirty-one trillion, one billion, thirty-three million, three hundred thirty-two thousand, two".