1313064000 has 224 divisors, whose sum is σ = 4818278400. Its totient is φ = 350092800.

The previous prime is 1313063981. The next prime is 1313064047. The reversal of 1313064000 is 4603131.

1313064000 is a `hidden beast` number, since 13 + 13 + 0 + 640 + 0 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 212961 + ... + 219039.

Almost surely, 2^1313064000 is an apocalyptic number.

1313064000 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 1313064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409139200).

1313064000 is an abundant number, since it is smaller than the sum of its proper divisors (3505214400).

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

1313064000 is an equidigital number, since it uses as much as digits as its factorization.

1313064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6089 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313064000 is about 36236.2249689451. The cubic root of 1313064000 is about 1095.0365910084.

Adding to 1313064000 its reverse (4603131), we get a palindrome (1317667131).

The spelling of 1313064000 in words is "one billion, three hundred thirteen million, sixty-four thousand".