1311056000 has 128 divisors (see below), whose sum is σ = 3310968960. Its totient is φ = 516172800.

The previous prime is 1311055987. The next prime is 1311056009. The reversal of 1311056000 is 6501131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1311056000.

It is not an unprimeable number, because it can be changed into a prime (1311056009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071389 + ... + 1072611.

It is an arithmetic number, because the mean of its divisors is an integer number (25866945).

Almost surely, 2^1311056000 is an apocalyptic number.

1311056000 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 1311056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655484480).

1311056000 is an abundant number, since it is smaller than the sum of its proper divisors (1999912960).

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

1311056000 is an equidigital number, since it uses as much as digits as its factorization.

1311056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1311056000 is about 36208.5072876527. The cubic root of 1311056000 is about 1094.4781121931.

Adding to 1311056000 its reverse (6501131), we get a palindrome (1317557131).

The spelling of 1311056000 in words is "one billion, three hundred eleven million, fifty-six thousand".