1313452800 has 432 divisors, whose sum is σ = 5261746560. Its totient is φ = 317952000.

The previous prime is 1313452757. The next prime is 1313452801. The reversal of 1313452800 is 82543131.

It is a happy number.

1313452800 is a `hidden beast` number, since 1 + 3 + 134 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1313452801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900455 + ... + 1901145.

Almost surely, 2^1313452800 is an apocalyptic number.

1313452800 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 1313452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630873280).

1313452800 is an abundant number, since it is smaller than the sum of its proper divisors (3948293760).

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

1313452800 is a wasteful number, since it uses less digits than its factorization.

1313452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1313452800 is about 36241.5893691212. The cubic root of 1313452800 is about 1095.1446609405.

Adding to 1313452800 its reverse (82543131), we get a palindrome (1395995931).

The spelling of 1313452800 in words is "one billion, three hundred thirteen million, four hundred fifty-two thousand, eight hundred".