1131313000 has 96 divisors (see below), whose sum is σ = 2717446680. Its totient is φ = 440832000.

The previous prime is 1131312967. The next prime is 1131313021. The reversal of 1131313000 is 3131311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 655462404 + 475850596 = 25602^2 + 21814^2 .

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 23 ways as a sum of consecutive naturals, for example, 1680664 + ... + 1681336.

Almost surely, 2^1131313000 is an apocalyptic number.

1131313000 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 1131313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358723340).

1131313000 is an abundant number, since it is smaller than the sum of its proper divisors (1586133680).

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

1131313000 is an equidigital number, since it uses as much as digits as its factorization.

1131313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1131313000 is about 33634.9966552696. The cubic root of 1131313000 is about 1041.9837015440.

Adding to 1131313000 its reverse (3131311), we get a palindrome (1134444311).

The spelling of 1131313000 in words is "one billion, one hundred thirty-one million, three hundred thirteen thousand".