1311330400 has 72 divisors (see below), whose sum is σ = 3217762800. Its totient is φ = 521832960.

The previous prime is 1311330373. The next prime is 1311330407. The reversal of 1311330400 is 40331131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311330407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 155082 + ... + 163318.

It is an arithmetic number, because the mean of its divisors is an integer number (44691150).

Almost surely, 2^1311330400 is an apocalyptic number.

1311330400 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 1311330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608881400).

1311330400 is an abundant number, since it is smaller than the sum of its proper divisors (1906432400).

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

1311330400 is a wasteful number, since it uses less digits than its factorization.

1311330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8456 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1311330400 is about 36212.2962541731. The cubic root of 1311330400 is about 1094.5544638374.

Adding to 1311330400 its reverse (40331131), we get a palindrome (1351661531).

The spelling of 1311330400 in words is "one billion, three hundred eleven million, three hundred thirty thousand, four hundred".