32005135313 has 2 divisors, whose sum is σ = 32005135314. Its totient is φ = 32005135312.

The previous prime is 32005135301. The next prime is 32005135361. The reversal of 32005135313 is 31353150023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31326168064 + 678967249 = 176992^2 + 26057^2 .

It is a cyclic number.

It is not a de Polignac number, because 32005135313 - 2⁴ = 32005135297 is a prime.

It is not a weakly prime, because it can be changed into another prime (32005135363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16002567656 + 16002567657.

It is an arithmetic number, because the mean of its divisors is an integer number (16002567657).

Almost surely, 2^32005135313 is an apocalyptic number.

It is an amenable number.

32005135313 is a deficient number, since it is larger than the sum of its proper divisors (1).

32005135313 is an equidigital number, since it uses as much as digits as its factorization.

32005135313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050, while the sum is 26.

Adding to 32005135313 its reverse (31353150023), we get a palindrome (63358285336).

The spelling of 32005135313 in words is "thirty-two billion, five million, one hundred thirty-five thousand, three hundred thirteen".