34031124031311 has 48 divisors (see below), whose sum is σ = 53707130186112. Its totient is φ = 20593282852800.

The previous prime is 34031124031253. The next prime is 34031124031363. The reversal of 34031124031311 is 11313042113043.

34031124031311 is a `hidden beast` number, since 3 + 4 + 0 + 311 + 2 + 4 + 0 + 31 + 311 = 666.

It is not a de Polignac number, because 34031124031311 - 2²² = 34031119837007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34031124031711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171800556 + ... + 171998526.

It is an arithmetic number, because the mean of its divisors is an integer number (1118898545544).

Almost surely, 2^{34031124031311} is an apocalyptic number.

34031124031311 is a deficient number, since it is larger than the sum of its proper divisors (19676006154801).

34031124031311 is a wasteful number, since it uses less digits than its factorization.

34031124031311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200644 (or 200641 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 34031124031311 its reverse (11313042113043), we get a palindrome (45344166144354).

The spelling of 34031124031311 in words is "thirty-four trillion, thirty-one billion, one hundred twenty-four million, thirty-one thousand, three hundred eleven".