2301301330020 has 288 divisors, whose sum is σ = 8706771440640. Its totient is φ = 477990938880.

The previous prime is 2301301330001. The next prime is 2301301330021. The reversal of 2301301330020 is 200331031032.

2301301330020 is a `hidden beast` number, since 2 + 30 + 1 + 301 + 330 + 0 + 2 + 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 = 2301301329975 and 2301301330002.

It is not an unprimeable number, because it can be changed into a prime (2301301330021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34047979 + ... + 34115501.

It is an arithmetic number, because the mean of its divisors is an integer number (30231845280).

Almost surely, 2^{2301301330020} is an apocalyptic number.

2301301330020 is a gapful number since it is divisible by the number (20) 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 2301301330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353385720320).

2301301330020 is an abundant number, since it is smaller than the sum of its proper divisors (6405470110620).

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

2301301330020 is a wasteful number, since it uses less digits than its factorization.

2301301330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70015 (or 70010 counting only the distinct ones).

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

Adding to 2301301330020 its reverse (200331031032), we get a palindrome (2501632361052).

The spelling of 2301301330020 in words is "two trillion, three hundred one billion, three hundred one million, three hundred thirty thousand, twenty".