11303221013120 has 32 divisors (see below), whose sum is σ = 27021762736020. Its totient is φ = 4521288404992.

The previous prime is 11303221013083. The next prime is 11303221013129. The reversal of 11303221013120 is 2131012230311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11272242197056 + 30978816064 = 3357416^2 + 176008^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 = 11303221013092 and 11303221013101.

It is not an unprimeable number, because it can be changed into a prime (11303221013129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8830640777 + ... + 8830642056.

Almost surely, 2^{11303221013120} is an apocalyptic number.

11303221013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11303221013120 is an abundant number, since it is smaller than the sum of its proper divisors (15718541722900).

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

11303221013120 is an equidigital number, since it uses as much as digits as its factorization.

11303221013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17661282852 (or 17661282840 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11303221013120 its reverse (2131012230311), we get a palindrome (13434233243431).

The spelling of 11303221013120 in words is "eleven trillion, three hundred three billion, two hundred twenty-one million, thirteen thousand, one hundred twenty".