1313522513 has 4 divisors (see below), whose sum is σ = 1314795108. Its totient is φ = 1312249920.

The previous prime is 1313522503. The next prime is 1313522521. The reversal of 1313522513 is 3152253131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3152253131 = 131 ⋅24063001.

It can be written as a sum of positive squares in 2 ways, for example, as 1256489809 + 57032704 = 35447^2 + 7552^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313522513 - 2⁸ = 1313522257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313522503) 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, 634748 + ... + 636813.

It is an arithmetic number, because the mean of its divisors is an integer number (328698777).

Almost surely, 2^1313522513 is an apocalyptic number.

It is an amenable number.

1313522513 is a deficient number, since it is larger than the sum of its proper divisors (1272595).

1313522513 is a wasteful number, since it uses less digits than its factorization.

1313522513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272594.

The product of its digits is 2700, while the sum is 26.

The square root of 1313522513 is about 36242.5511381304. The cubic root of 1313522513 is about 1095.1640359468.

Adding to 1313522513 its reverse (3152253131), we get a palindrome (4465775644).

The spelling of 1313522513 in words is "one billion, three hundred thirteen million, five hundred twenty-two thousand, five hundred thirteen".