34312133121343 has 16 divisors (see below), whose sum is σ = 44638709607936. Its totient is φ = 25574260710240.

The previous prime is 34312133121323. The next prime is 34312133121349.

34312133121343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34312133121343 - 2³³ = 34303543186751 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34312133121299 and 34312133121308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312133121349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9687218196 + ... + 9687221737.

It is an arithmetic number, because the mean of its divisors is an integer number (2789919350496).

Almost surely, 2^{34312133121343} is an apocalyptic number.

34312133121343 is a deficient number, since it is larger than the sum of its proper divisors (10326576486593).

34312133121343 is a wasteful number, since it uses less digits than its factorization.

34312133121343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19374439974.

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

It can be divided in two parts, 3431213 and 3121343, that added together give a palindrome (6552556).

The spelling of 34312133121343 in words is "thirty-four trillion, three hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred forty-three".