1301311305 has 64 divisors (see below), whose sum is σ = 2677555200. Its totient is φ = 587321280.

The previous prime is 1301311303. The next prime is 1301311307. The reversal of 1301311305 is 5031131031.

It is an interprime number because it is at equal distance from previous prime (1301311303) and next prime (1301311307).

It is not a de Polignac number, because 1301311305 - 2¹ = 1301311303 is a prime.

It is a super-2 number, since 2×1301311305² = 3386822225041606050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1301311301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65940 + ... + 83370.

It is an arithmetic number, because the mean of its divisors is an integer number (41836800).

Almost surely, 2^1301311305 is an apocalyptic number.

1301311305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1301311305 is an abundant number, since it is smaller than the sum of its proper divisors (1376243895).

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

1301311305 is a wasteful number, since it uses less digits than its factorization.

1301311305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17531 (or 17525 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1301311305 is about 36073.6926998055. The cubic root of 1301311305 is about 1091.7597210139.

Adding to 1301311305 its reverse (5031131031), we get a palindrome (6332442336).

The spelling of 1301311305 in words is "one billion, three hundred one million, three hundred eleven thousand, three hundred five".