11300013120 has 224 divisors, whose sum is σ = 40198340736. Its totient is φ = 2665267200.

The previous prime is 11300013113. The next prime is 11300013161. The reversal of 11300013120 is 2131000311.

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 = 11300013096 and 11300013105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376260 + ... + 405180.

Almost surely, 2^11300013120 is an apocalyptic number.

11300013120 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 11300013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20099170368).

11300013120 is an abundant number, since it is smaller than the sum of its proper divisors (28898327616).

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

11300013120 is a wasteful number, since it uses less digits than its factorization.

11300013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28989 (or 28979 counting only the distinct ones).

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

Adding to 11300013120 its reverse (2131000311), we get a palindrome (13431013431).

The spelling of 11300013120 in words is "eleven billion, three hundred million, thirteen thousand, one hundred twenty".