11301121330020 has 288 divisors, whose sum is σ = 36420712473600. Its totient is φ = 2940423482880.

The previous prime is 11301121330007. The next prime is 11301121330027. The reversal of 11301121330020 is 2003312110311.

11301121330020 is a `hidden beast` number, since 1 + 1 + 301 + 12 + 1 + 330 + 0 + 20 = 666.

11301121330020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11301121329975 and 11301121330002.

It is not an unprimeable number, because it can be changed into a prime (11301121330027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46500781 + ... + 46743179.

It is an arithmetic number, because the mean of its divisors is an integer number (126460807200).

Almost surely, 2^{11301121330020} is an apocalyptic number.

11301121330020 is a gapful number since it is divisible by the number (10) 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 11301121330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18210356236800).

11301121330020 is an abundant number, since it is smaller than the sum of its proper divisors (25119591143580).

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

11301121330020 is a wasteful number, since it uses less digits than its factorization.

11301121330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242657 (or 242643 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11301121330020 its reverse (2003312110311), we get a palindrome (13304433440331).

The spelling of 11301121330020 in words is "eleven trillion, three hundred one billion, one hundred twenty-one million, three hundred thirty thousand, twenty".