330002000131320 has 256 divisors, whose sum is σ = 1200850628659200. Its totient is φ = 79944261189120.

The previous prime is 330002000131313. The next prime is 330002000131333. The reversal of 330002000131320 is 23131000200033.

330002000131320 is a `hidden beast` number, since 3 + 300 + 0 + 200 + 0 + 131 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330002000131293 and 330002000131302.

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, 7144894 + ... + 26665586.

It is an arithmetic number, because the mean of its divisors is an integer number (4690822768200).

Almost surely, 2^{330002000131320} is an apocalyptic number.

330002000131320 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 330002000131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600425314329600).

330002000131320 is an abundant number, since it is smaller than the sum of its proper divisors (870848628527880).

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

330002000131320 is a wasteful number, since it uses less digits than its factorization.

330002000131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19522147 (or 19522137 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330002000131320 its reverse (23131000200033), we get a palindrome (353133000331353).

The spelling of 330002000131320 in words is "three hundred thirty trillion, two billion, one hundred thirty-one thousand, three hundred twenty".