1310513013 has 10 divisors (see below), whose sum is σ = 1957680054. Its totient is φ = 873675288.

The previous prime is 1310512967. The next prime is 1310513111. The reversal of 1310513013 is 3103150131.

1310513013 is a `hidden beast` number, since 1 + 310 + 51 + 301 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1170871524 + 139641489 = 34218^2 + 11817^2 .

It is not a de Polignac number, because 1310513013 - 2⁸ = 1310512757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310563013) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8089506 + ... + 8089667.

Almost surely, 2^1310513013 is an apocalyptic number.

It is an amenable number.

1310513013 is a deficient number, since it is larger than the sum of its proper divisors (647167041).

1310513013 is an equidigital number, since it uses as much as digits as its factorization.

1310513013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16179185 (or 16179176 counting only the distinct ones).

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

The square root of 1310513013 is about 36201.0084528042. The cubic root of 1310513013 is about 1094.3269949642.

Adding to 1310513013 its reverse (3103150131), we get a palindrome (4413663144).

The spelling of 1310513013 in words is "one billion, three hundred ten million, five hundred thirteen thousand, thirteen".