20301311030000 has 900 divisors, whose sum is σ = 67683534617160. Its totient is φ = 5840714880000.

The previous prime is 20301311029997. The next prime is 20301311030017. The reversal of 20301311030000 is 3011310302.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 770756831 + ... + 770783169.

Almost surely, 2^{20301311030000} is an apocalyptic number.

20301311030000 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 20301311030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33841767308580).

20301311030000 is an abundant number, since it is smaller than the sum of its proper divisors (47382223587160).

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

20301311030000 is a wasteful number, since it uses less digits than its factorization.

20301311030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26416 (or 26377 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 20301311030000 its reverse (3011310302), we get a palindrome (20304322340302).

The spelling of 20301311030000 in words is "twenty trillion, three hundred one billion, three hundred eleven million, thirty thousand".