331002223002 has 144 divisors (see below), whose sum is σ = 795128757696. Its totient is φ = 99437184000.

The previous prime is 331002222979. The next prime is 331002223043. The reversal of 331002223002 is 200322200133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271981498 + ... + 271982714.

It is an arithmetic number, because the mean of its divisors is an integer number (5521727484).

Almost surely, 2^331002223002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331002223002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397564378848).

331002223002 is an abundant number, since it is smaller than the sum of its proper divisors (464126534694).

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

331002223002 is a wasteful number, since it uses less digits than its factorization.

331002223002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 331002223002 its reverse (200322200133), we get a palindrome (531324423135).

The spelling of 331002223002 in words is "three hundred thirty-one billion, two million, two hundred twenty-three thousand, two".