1131304320 has 320 divisors, whose sum is σ = 4095075600. Its totient is φ = 297603072.

The previous prime is 1131304309. The next prime is 1131304331. The reversal of 1131304320 is 234031311.

1131304320 is a `hidden beast` number, since 11 + 31 + 304 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (1131304309) and next prime (1131304331).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1131304293 and 1131304302.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 7205682 + ... + 7205838.

Almost surely, 2^1131304320 is an apocalyptic number.

1131304320 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 1131304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047537800).

1131304320 is an abundant number, since it is smaller than the sum of its proper divisors (2963771280).

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

1131304320 is a wasteful number, since it uses less digits than its factorization.

1131304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1131304320 is about 33634.8676227512. The cubic root of 1131304320 is about 1041.9810366635.

Adding to 1131304320 its reverse (234031311), we get a palindrome (1365335631).

The spelling of 1131304320 in words is "one billion, one hundred thirty-one million, three hundred four thousand, three hundred twenty".