11300130011020 has 96 divisors (see below), whose sum is σ = 25351484856768. Its totient is φ = 4216027103232.

The previous prime is 11300130010999. The next prime is 11300130011039. The reversal of 11300130011020 is 2011003100311.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 636725787 + ... + 636743533.

It is an arithmetic number, because the mean of its divisors is an integer number (264077967258).

Almost surely, 2^{11300130011020} is an apocalyptic number.

11300130011020 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 11300130011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12675742428384).

11300130011020 is an abundant number, since it is smaller than the sum of its proper divisors (14051354845748).

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

11300130011020 is a wasteful number, since it uses less digits than its factorization.

11300130011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34459 (or 34457 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11300130011020 its reverse (2011003100311), we get a palindrome (13311133111331).

The spelling of 11300130011020 in words is "eleven trillion, three hundred billion, one hundred thirty million, eleven thousand, twenty".