1131221320320 has 768 divisors, whose sum is σ = 4495609036800. Its totient is φ = 236892045312.

The previous prime is 1131221320309. The next prime is 1131221320337. The reversal of 1131221320320 is 230231221311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315717249 + ... + 315720831.

It is an arithmetic number, because the mean of its divisors is an integer number (5853657600).

Almost surely, 2^{1131221320320} is an apocalyptic number.

1131221320320 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 1131221320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247804518400).

1131221320320 is an abundant number, since it is smaller than the sum of its proper divisors (3364387716480).

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

1131221320320 is a wasteful number, since it uses less digits than its factorization.

1131221320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1131221320320 its reverse (230231221311), we get a palindrome (1361452541631).

Subtracting from 1131221320320 its reverse (230231221311), we obtain a palindrome (900990099009).

It can be divided in two parts, 1131221 and 320320, that added together give a palindrome (1451541).

The spelling of 1131221320320 in words is "one trillion, one hundred thirty-one billion, two hundred twenty-one million, three hundred twenty thousand, three hundred twenty".