330031223300000 has 144 divisors (see below), whose sum is σ = 812635640974584. Its totient is φ = 131930985600000.

The previous prime is 330031223299961. The next prime is 330031223300003. The reversal of 330031223300000 is 3322130033.

It can be written as a sum of positive squares in 12 ways, for example, as 92416767396496 + 237614455903504 = 9613364^2 + 15414748^2 .

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 (330031223300003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161082014 + ... + 163117986.

Almost surely, 2^{330031223300000} 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 330031223300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406317820487292).

330031223300000 is an abundant number, since it is smaller than the sum of its proper divisors (482604417674584).

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

330031223300000 is an equidigital number, since it uses as much as digits as its factorization.

330031223300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037629 (or 2037601 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 330031223300000 its reverse (3322130033), we get a palindrome (330034545430033).

The spelling of 330031223300000 in words is "three hundred thirty trillion, thirty-one billion, two hundred twenty-three million, three hundred thousand".