330001023233100 has 144 divisors (see below), whose sum is σ = 959409558608256. Its totient is φ = 87575772480000.

The previous prime is 330001023233099. The next prime is 330001023233159. The reversal of 330001023233100 is 1332320100033.

It is a super-2 number, since 2×330001023233100² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766157800 + ... + 766588400.

It is an arithmetic number, because the mean of its divisors is an integer number (6662566379224).

Almost surely, 2^{330001023233100} is an apocalyptic number.

330001023233100 is a gapful number since it is divisible by the number (30) 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 330001023233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479704779304128).

330001023233100 is an abundant number, since it is smaller than the sum of its proper divisors (629408535375156).

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

330001023233100 is a wasteful number, since it uses less digits than its factorization.

330001023233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442936 (or 442929 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 330001023233100 its reverse (1332320100033), we get a palindrome (331333343333133).

The spelling of 330001023233100 in words is "three hundred thirty trillion, one billion, twenty-three million, two hundred thirty-three thousand, one hundred".