1311140000 has 60 divisors (see below), whose sum is σ = 3225650274. Its totient is φ = 524448000.

The previous prime is 1311139997. The next prime is 1311140027. The reversal of 1311140000 is 411131.

It can be written as a sum of positive squares in 5 ways, for example, as 62789776 + 1248350224 = 7924^2 + 35332^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12779 + ... + 52778.

Almost surely, 2^1311140000 is an apocalyptic number.

1311140000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311140000 is an abundant number, since it is smaller than the sum of its proper divisors (1914510274).

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

1311140000 is an frugal number, since it uses more digits than its factorization.

1311140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65587 (or 65564 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1311140000 is about 36209.6672174711. The cubic root of 1311140000 is about 1094.5014862768.

Adding to 1311140000 its reverse (411131), we get a palindrome (1311551131).

The spelling of 1311140000 in words is "one billion, three hundred eleven million, one hundred forty thousand".