34001331114311 has 8 divisors (see below), whose sum is σ = 37094691475200. Its totient is φ = 30908359130040.

The previous prime is 34001331114307. The next prime is 34001331114343. The reversal of 34001331114311 is 11341113310043.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34001331114311 - 2² = 34001331114307 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 (34001331114211) 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 7 ways as a sum of consecutive naturals, for example, 96911081 + ... + 97261298.

It is an arithmetic number, because the mean of its divisors is an integer number (4636836434400).

Almost surely, 2^{34001331114311} is an apocalyptic number.

34001331114311 is a deficient number, since it is larger than the sum of its proper divisors (3093360360889).

34001331114311 is a wasteful number, since it uses less digits than its factorization.

34001331114311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194188309.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 34001331114311 its reverse (11341113310043), we get a palindrome (45342444424354).

The spelling of 34001331114311 in words is "thirty-four trillion, one billion, three hundred thirty-one million, one hundred fourteen thousand, three hundred eleven".