11303413220 has 192 divisors, whose sum is σ = 28229160960. Its totient is φ = 3755980800.

The previous prime is 11303413189. The next prime is 11303413279. The reversal of 11303413220 is 2231430311.

11303413220 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 11303413192 and 11303413201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19795535 + ... + 19796105.

It is an arithmetic number, because the mean of its divisors is an integer number (147026880).

Almost surely, 2^11303413220 is an apocalyptic number.

11303413220 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 11303413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14114580480).

11303413220 is an abundant number, since it is smaller than the sum of its proper divisors (16925747740).

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

11303413220 is a wasteful number, since it uses less digits than its factorization.

11303413220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11303413220 its reverse (2231430311), we get a palindrome (13534843531).

The spelling of 11303413220 in words is "eleven billion, three hundred three million, four hundred thirteen thousand, two hundred twenty".