1131313000000 has 294 divisors, whose sum is σ = 2880536448974. Its totient is φ = 440832000000.

The previous prime is 1131312999961. The next prime is 1131313000001. The reversal of 1131313000000 is 3131311.

It is a happy number.

It can be written as a sum of positive squares in 21 ways, for example, as 11305643584 + 1120007356416 = 106328^2 + 1058304^2 .

It is not an unprimeable number, because it can be changed into a prime (1131313000001) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 1680999664 + ... + 1681000336.

Almost surely, 2^{1131313000000} is an apocalyptic number.

1131313000000 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 1131313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440268224487).

1131313000000 is an abundant number, since it is smaller than the sum of its proper divisors (1749223448974).

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

1131313000000 is an frugal number, since it uses more digits than its factorization.

1131313000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 721 counting only the distinct ones).

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

Adding to 1131313000000 its reverse (3131311), we get a palindrome (1131316131311).

The spelling of 1131313000000 in words is "one trillion, one hundred thirty-one billion, three hundred thirteen million", and thus it is an aban number.