1311050400 has 288 divisors, whose sum is σ = 4748321088. Its totient is φ = 311500800.

The previous prime is 1311050381. The next prime is 1311050417. The reversal of 1311050400 is 40501131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311050400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1398732 + ... + 1399668.

It is an arithmetic number, because the mean of its divisors is an integer number (16487226).

Almost surely, 2^1311050400 is an apocalyptic number.

1311050400 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 1311050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374160544).

1311050400 is an abundant number, since it is smaller than the sum of its proper divisors (3437270688).

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

1311050400 is a wasteful number, since it uses less digits than its factorization.

1311050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1311050400 is about 36208.4299576770. The cubic root of 1311050400 is about 1094.4765538853.

Adding to 1311050400 its reverse (40501131), we get a palindrome (1351551531).

The spelling of 1311050400 in words is "one billion, three hundred eleven million, fifty thousand, four hundred".