34033608000013 has 2 divisors, whose sum is σ = 34033608000014. Its totient is φ = 34033608000012.

The previous prime is 34033607999971. The next prime is 34033608000017. The reversal of 34033608000013 is 31000080633043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20349364594729 + 13684243405284 = 4511027^2 + 3699222^2 .

It is a cyclic number.

It is not a de Polignac number, because 34033608000013 - 2²⁵ = 34033574445581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34033608000017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17016804000006 + 17016804000007.

It is an arithmetic number, because the mean of its divisors is an integer number (17016804000007).

Almost surely, 2^{34033608000013} is an apocalyptic number.

It is an amenable number.

34033608000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34033608000013 is an equidigital number, since it uses as much as digits as its factorization.

34033608000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 34033608000013 its reverse (31000080633043), we get a palindrome (65033688633056).

The spelling of 34033608000013 in words is "thirty-four trillion, thirty-three billion, six hundred eight million, thirteen", and thus it is an aban number.