1310013305 has 16 divisors (see below), whose sum is σ = 1629616320. Its totient is φ = 1010140992.

The previous prime is 1310013293. The next prime is 1310013337. The reversal of 1310013305 is 5033100131.

It is a cyclic number.

It is not a de Polignac number, because 1310013305 - 2¹⁰ = 1310012281 is a prime.

It is a super-2 number, since 2×1310013305² = 3432269718554046050, which 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 15 ways as a sum of consecutive naturals, for example, 13295 + ... + 52884.

It is an arithmetic number, because the mean of its divisors is an integer number (101851020).

Almost surely, 2^1310013305 is an apocalyptic number.

It is an amenable number.

1310013305 is a deficient number, since it is larger than the sum of its proper divisors (319603015).

1310013305 is a wasteful number, since it uses less digits than its factorization.

1310013305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66328.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 1310013305 is about 36194.1059428189. The cubic root of 1310013305 is about 1094.1878857074.

Adding to 1310013305 its reverse (5033100131), we get a palindrome (6343113436).

The spelling of 1310013305 in words is "one billion, three hundred ten million, thirteen thousand, three hundred five".