1306501313 has 12 divisors (see below), whose sum is σ = 1489195440. Its totient is φ = 1142524656.

The previous prime is 1306501309. The next prime is 1306501321. The reversal of 1306501313 is 3131056031.

It is a happy number.

It is not a de Polignac number, because 1306501313 - 2² = 1306501309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1306501303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200231 + ... + 206652.

It is an arithmetic number, because the mean of its divisors is an integer number (124099620).

Almost surely, 2^1306501313 is an apocalyptic number.

1306501313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1306501313 is a deficient number, since it is larger than the sum of its proper divisors (182694127).

1306501313 is a wasteful number, since it uses less digits than its factorization.

1306501313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406928 (or 406915 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 1306501313 is about 36145.5573065349. The cubic root of 1306501313 is about 1093.2092141617.

Adding to 1306501313 its reverse (3131056031), we get a palindrome (4437557344).

The spelling of 1306501313 in words is "one billion, three hundred six million, five hundred one thousand, three hundred thirteen".