1305312501330 has 24 divisors (see below), whose sum is σ = 3393812503692. Its totient is φ = 348083333664.

The previous prime is 1305312501319. The next prime is 1305312501343. The reversal of 1305312501330 is 331052135031.

1305312501330 is a `hidden beast` number, since 1 + 30 + 53 + 1 + 250 + 1 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1280403139401 + 24909361929 = 1131549^2 + 157827^2 .

It is a super-2 number, since 2×1305312501330² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1305312501294 and 1305312501303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7251736029 + ... + 7251736208.

Almost surely, 2^{1305312501330} is an apocalyptic number.

1305312501330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1305312501330 is an abundant number, since it is smaller than the sum of its proper divisors (2088500002362).

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

1305312501330 is a wasteful number, since it uses less digits than its factorization.

1305312501330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14503472250 (or 14503472247 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 1305312501330 its reverse (331052135031), we get a palindrome (1636364636361).

The spelling of 1305312501330 in words is "one trillion, three hundred five billion, three hundred twelve million, five hundred one thousand, three hundred thirty".