34112320333013 has 16 divisors (see below), whose sum is σ = 36828726144000. Its totient is φ = 31409141624064.

The previous prime is 34112320332973. The next prime is 34112320333057. The reversal of 34112320333013 is 31033302321143.

It is a cyclic number.

It is not a de Polignac number, because 34112320333013 - 2³⁰ = 34111246591189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112320333913) 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 in 15 ways as a sum of consecutive naturals, for example, 26980988 + ... + 28216986.

It is an arithmetic number, because the mean of its divisors is an integer number (2301795384000).

Almost surely, 2^{34112320333013} is an apocalyptic number.

It is an amenable number.

34112320333013 is a deficient number, since it is larger than the sum of its proper divisors (2716405810987).

34112320333013 is a wasteful number, since it uses less digits than its factorization.

34112320333013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241348.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 34112320333013 its reverse (31033302321143), we get a palindrome (65145622654156).

The spelling of 34112320333013 in words is "thirty-four trillion, one hundred twelve billion, three hundred twenty million, three hundred thirty-three thousand, thirteen".