330101013231220 has 384 divisors, whose sum is σ = 926411633602560. Its totient is φ = 95640447098880.

The previous prime is 330101013231161. The next prime is 330101013231233. The reversal of 330101013231220 is 22132310101033.

It is a super-3 number, since 3×330101013231220³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 330101013231191 and 330101013231200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7707396766 + ... + 7707439594.

It is an arithmetic number, because the mean of its divisors is an integer number (2412530295840).

Almost surely, 2^{330101013231220} 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 330101013231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463205816801280).

330101013231220 is an abundant number, since it is smaller than the sum of its proper divisors (596310620371340).

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

330101013231220 is a wasteful number, since it uses less digits than its factorization.

330101013231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46503 (or 46501 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 330101013231220 its reverse (22132310101033), we get a palindrome (352233323332253).

The spelling of 330101013231220 in words is "three hundred thirty trillion, one hundred one billion, thirteen million, two hundred thirty-one thousand, two hundred twenty".