330100020023232 has 112 divisors (see below), whose sum is σ = 886471335341312. Its totient is φ = 108385422520320.

The previous prime is 330100020023197. The next prime is 330100020023251. The reversal of 330100020023232 is 232320020001033.

It is a junction number, because it is equal to n+sod(n) for n = 330100020023199 and 330100020023208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250744632 + ... + 252057672.

It is an arithmetic number, because the mean of its divisors is an integer number (7914922636976).

Almost surely, 2^{330100020023232} is an apocalyptic number.

330100020023232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330100020023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443235667670656).

330100020023232 is an abundant number, since it is smaller than the sum of its proper divisors (556371315318080).

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

330100020023232 is a wasteful number, since it uses less digits than its factorization.

330100020023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332666 (or 1332656 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 330100020023232 its reverse (232320020001033), we get a palindrome (562420040024265).

The spelling of 330100020023232 in words is "three hundred thirty trillion, one hundred billion, twenty million, twenty-three thousand, two hundred thirty-two".