1305130320 has 200 divisors, whose sum is σ = 4881911496. Its totient is φ = 321242112.

The previous prime is 1305130291. The next prime is 1305130381. The reversal of 1305130320 is 230315031.

1305130320 is a `hidden beast` number, since 130 + 513 + 0 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32353344 + 1272776976 = 5688^2 + 35676^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1305130293 and 1305130302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76494 + ... + 91986.

Almost surely, 2^1305130320 is an apocalyptic number.

1305130320 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 1305130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440955748).

1305130320 is an abundant number, since it is smaller than the sum of its proper divisors (3576781176).

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

1305130320 is a wasteful number, since it uses less digits than its factorization.

1305130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15531 (or 15516 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1305130320 is about 36126.5874391701. The cubic root of 1305130320 is about 1092.8266895452.

Adding to 1305130320 its reverse (230315031), we get a palindrome (1535445351).

The spelling of 1305130320 in words is "one billion, three hundred five million, one hundred thirty thousand, three hundred twenty".