1311350400 has 144 divisors (see below), whose sum is σ = 4679301510. Its totient is φ = 349685760.

The previous prime is 1311350363. The next prime is 1311350407. The reversal of 1311350400 is 40531131.

1311350400 is a `hidden beast` number, since 1 + 311 + 350 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 968952384 + 342398016 = 31128^2 + 18504^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1311350407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6034 + ... + 51566.

Almost surely, 2^1311350400 is an apocalyptic number.

1311350400 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 1311350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339650755).

1311350400 is an abundant number, since it is smaller than the sum of its proper divisors (3367951110).

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

1311350400 is a wasteful number, since it uses less digits than its factorization.

1311350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45563 (or 45543 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1311350400 is about 36212.5724024129. The cubic root of 1311350400 is about 1094.5600284096.

Adding to 1311350400 its reverse (40531131), we get a palindrome (1351881531).

It can be divided in two parts, 131 and 1350400, that added together give a palindrome (1350531).

The spelling of 1311350400 in words is "one billion, three hundred eleven million, three hundred fifty thousand, four hundred".