34311322311343 has 64 divisors (see below), whose sum is σ = 44822931701760. Its totient is φ = 25483951468800.

The previous prime is 34311322311337. The next prime is 34311322311347.

34311322311343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34311322311343 - 2¹³ = 34311322303151 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34311322311299 and 34311322311308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34311322311347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2031569643 + ... + 2031586531.

It is an arithmetic number, because the mean of its divisors is an integer number (700358307840).

Almost surely, 2^{34311322311343} is an apocalyptic number.

34311322311343 is a deficient number, since it is larger than the sum of its proper divisors (10511609390417).

34311322311343 is a wasteful number, since it uses less digits than its factorization.

34311322311343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29708.

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

It can be divided in two parts, 3431132 and 2311343, that added together give a palindrome (5742475).

The spelling of 34311322311343 in words is "thirty-four trillion, three hundred eleven billion, three hundred twenty-two million, three hundred eleven thousand, three hundred forty-three".