1306564310120 has 16 divisors (see below), whose sum is σ = 2939769697860. Its totient is φ = 522625724032.

The previous prime is 1306564310113. The next prime is 1306564310131. The reversal of 1306564310120 is 210134656031.

It can be written as a sum of positive squares in 2 ways, for example, as 1291509510916 + 15054799204 = 1136446^2 + 122698^2 .

It is a super-2 number, since 2×1306564310120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16332053837 + ... + 16332053916.

Almost surely, 2^{1306564310120} is an apocalyptic number.

1306564310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306564310120 is an abundant number, since it is smaller than the sum of its proper divisors (1633205387740).

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

1306564310120 is a wasteful number, since it uses less digits than its factorization.

1306564310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32664107764 (or 32664107760 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 1306564310120 its reverse (210134656031), we get a palindrome (1516698966151).

The spelling of 1306564310120 in words is "one trillion, three hundred six billion, five hundred sixty-four million, three hundred ten thousand, one hundred twenty".