1300313088 has 220 divisors, whose sum is σ = 3962001252. Its totient is φ = 424673280.

The previous prime is 1300313071. The next prime is 1300313123. The reversal of 1300313088 is 8803130031.

It can be written as a sum of positive squares in 2 ways, for example, as 686859264 + 613453824 = 26208^2 + 24768^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5059456 + ... + 5059712.

Almost surely, 2^1300313088 is an apocalyptic number.

1300313088 is a gapful number since it is divisible by the number (18) 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 1300313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981000626).

1300313088 is an abundant number, since it is smaller than the sum of its proper divisors (2661688164).

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

1300313088 is an equidigital number, since it uses as much as digits as its factorization.

1300313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1300313088 is about 36059.8542426339. The cubic root of 1300313088 is about 1091.4804919296.

The spelling of 1300313088 in words is "one billion, three hundred million, three hundred thirteen thousand, eighty-eight".