34013144021 has 2 divisors, whose sum is σ = 34013144022. Its totient is φ = 34013144020.

The previous prime is 34013143979. The next prime is 34013144023. The reversal of 34013144021 is 12044131043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17400511921 + 16612632100 = 131911^2 + 128890^2 .

It is a cyclic number.

It is not a de Polignac number, because 34013144021 - 2¹⁰ = 34013142997 is a prime.

Together with 34013144023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34013144023) 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, 17006572010 + 17006572011.

It is an arithmetic number, because the mean of its divisors is an integer number (17006572011).

Almost surely, 2^34013144021 is an apocalyptic number.

It is an amenable number.

34013144021 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013144021 is an equidigital number, since it uses as much as digits as its factorization.

34013144021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 34013144021 its reverse (12044131043), we get a palindrome (46057275064).

The spelling of 34013144021 in words is "thirty-four billion, thirteen million, one hundred forty-four thousand, twenty-one".