1311040000 has 200 divisors, whose sum is σ = 3480282828. Its totient is φ = 491520000.

The previous prime is 1311039991. The next prime is 1311040001. The reversal of 1311040000 is 401131.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 20736 + 1311019264 = 144^2 + 36208^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311040001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5439880 + ... + 5440120.

Almost surely, 2^1311040000 is an apocalyptic number.

1311040000 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 1311040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740141414).

1311040000 is an abundant number, since it is smaller than the sum of its proper divisors (2169242828).

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

1311040000 is an frugal number, since it uses more digits than its factorization.

1311040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1311040000 is about 36208.2863444267. The cubic root of 1311040000 is about 1094.4736598735.

Adding to 1311040000 its reverse (401131), we get a palindrome (1311441131).

The spelling of 1311040000 in words is "one billion, three hundred eleven million, forty thousand".