1131301120 has 72 divisors (see below), whose sum is σ = 2754433080. Its totient is φ = 445071360.

The previous prime is 1131301117. The next prime is 1131301121. The reversal of 1131301120 is 211031311.

It can be written as a sum of positive squares in 4 ways, for example, as 35426304 + 1095874816 = 5952^2 + 33104^2 .

It is a super-2 number, since 2×1131301120² = 2559684448226508800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1131301120.

It is not an unprimeable number, because it can be changed into a prime (1131301121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70836 + ... + 85324.

It is an arithmetic number, because the mean of its divisors is an integer number (38256015).

Almost surely, 2^1131301120 is an apocalyptic number.

1131301120 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 1131301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377216540).

1131301120 is an abundant number, since it is smaller than the sum of its proper divisors (1623131960).

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

1131301120 is an equidigital number, since it uses as much as digits as its factorization.

1131301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14571 (or 14557 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1131301120 is about 33634.8200530343. The cubic root of 1131301120 is about 1041.9800542157.

Adding to 1131301120 its reverse (211031311), we get a palindrome (1342332431).

The spelling of 1131301120 in words is "one billion, one hundred thirty-one million, three hundred one thousand, one hundred twenty".