34042032144013 has 2 divisors, whose sum is σ = 34042032144014. Its totient is φ = 34042032144012.

The previous prime is 34042032143993. The next prime is 34042032144091. The reversal of 34042032144013 is 31044123024043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32338636503849 + 1703395640164 = 5686707^2 + 1305142^2 .

It is a cyclic number.

It is not a de Polignac number, because 34042032144013 - 2⁹ = 34042032143501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34042032144313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17021016072006 + 17021016072007.

It is an arithmetic number, because the mean of its divisors is an integer number (17021016072007).

Almost surely, 2^{34042032144013} is an apocalyptic number.

It is an amenable number.

34042032144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34042032144013 is an equidigital number, since it uses as much as digits as its factorization.

34042032144013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 34042032144013 its reverse (31044123024043), we get a palindrome (65086155168056).

The spelling of 34042032144013 in words is "thirty-four trillion, forty-two billion, thirty-two million, one hundred forty-four thousand, thirteen".