13523034045233 has 2 divisors, whose sum is σ = 13523034045234. Its totient is φ = 13523034045232.

The previous prime is 13523034045217. The next prime is 13523034045277. The reversal of 13523034045233 is 33254043032531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12899791690384 + 623242354849 = 3591628^2 + 789457^2 .

It is a cyclic number.

It is not a de Polignac number, because 13523034045233 - 2⁴ = 13523034045217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13523034045733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6761517022616 + 6761517022617.

It is an arithmetic number, because the mean of its divisors is an integer number (6761517022617).

Almost surely, 2^{13523034045233} is an apocalyptic number.

It is an amenable number.

13523034045233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13523034045233 is an equidigital number, since it uses as much as digits as its factorization.

13523034045233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 38.

Adding to 13523034045233 its reverse (33254043032531), we get a palindrome (46777077077764).

The spelling of 13523034045233 in words is "thirteen trillion, five hundred twenty-three billion, thirty-four million, forty-five thousand, two hundred thirty-three".