1311050000000 has 288 divisors, whose sum is σ = 3517703277060. Its totient is φ = 483840000000.

The previous prime is 1311049999991. The next prime is 1311050000021. The reversal of 1311050000000 is 501131.

It can be written as a sum of positive squares in 18 ways, for example, as 926937626176 + 384112373824 = 962776^2 + 619768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 649998992 + ... + 650001008.

Almost surely, 2^{1311050000000} is an apocalyptic number.

1311050000000 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 1311050000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758851638530).

1311050000000 is an abundant number, since it is smaller than the sum of its proper divisors (2206653277060).

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

1311050000000 is an frugal number, since it uses more digits than its factorization.

1311050000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 1311050000000 its reverse (501131), we get a palindrome (1311050501131).

The spelling of 1311050000000 in words is "one trillion, three hundred eleven billion, fifty million", and thus it is an aban number.