34421332132013 has 2 divisors, whose sum is σ = 34421332132014. Its totient is φ = 34421332132012.

The previous prime is 34421332131997. The next prime is 34421332132021. The reversal of 34421332132013 is 31023123312443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30722487727369 + 3698844404644 = 5542787^2 + 1923238^2 .

It is a cyclic number.

It is not a de Polignac number, because 34421332132013 - 2⁴ = 34421332131997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34421332132813) 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, 17210666066006 + 17210666066007.

It is an arithmetic number, because the mean of its divisors is an integer number (17210666066007).

Almost surely, 2^{34421332132013} is an apocalyptic number.

It is an amenable number.

34421332132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34421332132013 is an equidigital number, since it uses as much as digits as its factorization.

34421332132013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 34421332132013 its reverse (31023123312443), we get a palindrome (65444455444456).

The spelling of 34421332132013 in words is "thirty-four trillion, four hundred twenty-one billion, three hundred thirty-two million, one hundred thirty-two thousand, thirteen".