34231133113243 has 8 divisors (see below), whose sum is σ = 37792970623296. Its totient is φ = 30744281656200.

The previous prime is 34231133113127. The next prime is 34231133113277.

34231133113243 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34231133113243 is a prime.

It is a super-3 number, since 3×34231133113243³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34231133113199 and 34231133113208.

It is not an unprimeable number, because it can be changed into a prime (34231133113283) 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, 18746512293 + ... + 18746514118.

It is an arithmetic number, because the mean of its divisors is an integer number (4724121327912).

Almost surely, 2^{34231133113243} is an apocalyptic number.

34231133113243 is a deficient number, since it is larger than the sum of its proper divisors (3561837510053).

34231133113243 is a wasteful number, since it uses less digits than its factorization.

34231133113243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37493026505.

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 3423113 and 3113243, that added together give a palindrome (6536356).

The spelling of 34231133113243 in words is "thirty-four trillion, two hundred thirty-one billion, one hundred thirty-three million, one hundred thirteen thousand, two hundred forty-three".