34213122131243 has 16 divisors (see below), whose sum is σ = 37358585618400. Its totient is φ = 31073524231680.

The previous prime is 34213122131189. The next prime is 34213122131257.

34213122131243 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34213122131243 - 2⁶ = 34213122131179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34213122131543) 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 15 ways as a sum of consecutive naturals, for example, 433427603 + ... + 433506531.

It is an arithmetic number, because the mean of its divisors is an integer number (2334911601150).

Almost surely, 2^{34213122131243} is an apocalyptic number.

34213122131243 is a deficient number, since it is larger than the sum of its proper divisors (3145463487157).

34213122131243 is a wasteful number, since it uses less digits than its factorization.

34213122131243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115582.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 3421312 and 2131243, that added together give a palindrome (5552555).

The spelling of 34213122131243 in words is "thirty-four trillion, two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred forty-three".