13032132313 has 4 divisors (see below), whose sum is σ = 13161163428. Its totient is φ = 12903101200.

The previous prime is 13032132307. The next prime is 13032132359. The reversal of 13032132313 is 31323123031.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31323123031 = 101 ⋅310129931.

It can be written as a sum of positive squares in 2 ways, for example, as 9136874569 + 3895257744 = 95587^2 + 62412^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032132313 - 2¹³ = 13032124121 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13032138313) 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, 64515406 + ... + 64515607.

It is an arithmetic number, because the mean of its divisors is an integer number (3290290857).

Almost surely, 2^13032132313 is an apocalyptic number.

It is an amenable number.

13032132313 is a deficient number, since it is larger than the sum of its proper divisors (129031115).

13032132313 is a wasteful number, since it uses less digits than its factorization.

13032132313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129031114.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13032132313 its reverse (31323123031), we get a palindrome (44355255344).

The spelling of 13032132313 in words is "thirteen billion, thirty-two million, one hundred thirty-two thousand, three hundred thirteen".