11300113020 has 192 divisors, whose sum is σ = 37589400576. Its totient is φ = 2482513920.

The previous prime is 11300113009. The next prime is 11300113021. The reversal of 11300113020 is 2031100311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11300112987 and 11300113005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300113021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1285440 + ... + 1294200.

It is an arithmetic number, because the mean of its divisors is an integer number (195778128).

Almost surely, 2^11300113020 is an apocalyptic number.

11300113020 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 11300113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18794700288).

11300113020 is an abundant number, since it is smaller than the sum of its proper divisors (26289287556).

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

11300113020 is a wasteful number, since it uses less digits than its factorization.

11300113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11300113020 its reverse (2031100311), we get a palindrome (13331213331).

The spelling of 11300113020 in words is "eleven billion, three hundred million, one hundred thirteen thousand, twenty".