1331314400 has 216 divisors, whose sum is σ = 3616877880. Its totient is φ = 478033920.

The previous prime is 1331314289. The next prime is 1331314423. The reversal of 1331314400 is 44131331.

1331314400 = T₄₉ + T₅₀ + ... + T₁₉₉₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5813486 + ... + 5813714.

It is an arithmetic number, because the mean of its divisors is an integer number (16744805).

Almost surely, 2^1331314400 is an apocalyptic number.

1331314400 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 1331314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808438940).

1331314400 is an abundant number, since it is smaller than the sum of its proper divisors (2285563480).

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

1331314400 is a wasteful number, since it uses less digits than its factorization.

1331314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1331314400 is about 36487.1813107014. The cubic root of 1331314400 is about 1100.0866047515.

Adding to 1331314400 its reverse (44131331), we get a palindrome (1375445731).

The spelling of 1331314400 in words is "one billion, three hundred thirty-one million, three hundred fourteen thousand, four hundred".