330100230213120 has 640 divisors, whose sum is σ = 1086197400059904. Its totient is φ = 85474201042944.

The previous prime is 330100230213119. The next prime is 330100230213151. The reversal of 330100230213120 is 21312032001033.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

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, 40094764524 + ... + 40094772756.

Almost surely, 2^{330100230213120} is an apocalyptic number.

330100230213120 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 330100230213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543098700029952).

330100230213120 is an abundant number, since it is smaller than the sum of its proper divisors (756097169846784).

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

330100230213120 is a wasteful number, since it uses less digits than its factorization.

330100230213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9002 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 330100230213120 its reverse (21312032001033), we get a palindrome (351412262214153).

The spelling of 330100230213120 in words is "three hundred thirty trillion, one hundred billion, two hundred thirty million, two hundred thirteen thousand, one hundred twenty".