1300316160 has 480 divisors, whose sum is σ = 5020428672. Its totient is φ = 283115520.

The previous prime is 1300316159. The next prime is 1300316161. The reversal of 1300316160 is 616130031.

It is an interprime number because it is at equal distance from previous prime (1300316159) and next prime (1300316161).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300316161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35143662 + ... + 35143698.

Almost surely, 2^1300316160 is an apocalyptic number.

1300316160 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 1300316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510214336).

1300316160 is an abundant number, since it is smaller than the sum of its proper divisors (3720112512).

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

1300316160 is a wasteful number, since it uses less digits than its factorization.

1300316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1300316160 is about 36059.8968384548. The cubic root of 1300316160 is about 1091.4813514727.

Adding to 1300316160 its reverse (616130031), we get a palindrome (1916446191).

The spelling of 1300316160 in words is "one billion, three hundred million, three hundred sixteen thousand, one hundred sixty".