1310505013 has 4 divisors (see below), whose sum is σ = 1310809068. Its totient is φ = 1310200960.

The previous prime is 1310504953. The next prime is 1310505019. The reversal of 1310505013 is 3105050131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3105050131 = 11933 ⋅260207.

It can be written as a sum of positive squares in 2 ways, for example, as 930372004 + 380133009 = 30502^2 + 19497^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310505013 - 2²¹ = 1308407861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310505019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145468 + ... + 154213.

It is an arithmetic number, because the mean of its divisors is an integer number (327702267).

Almost surely, 2^1310505013 is an apocalyptic number.

It is an amenable number.

1310505013 is a deficient number, since it is larger than the sum of its proper divisors (304055).

1310505013 is an equidigital number, since it uses as much as digits as its factorization.

1310505013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304054.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 1310505013 is about 36200.8979584761. The cubic root of 1310505013 is about 1094.3247681940.

Adding to 1310505013 its reverse (3105050131), we get a palindrome (4415555144).

The spelling of 1310505013 in words is "one billion, three hundred ten million, five hundred five thousand, thirteen".