34000133100043 has 4 divisors (see below), whose sum is σ = 37091054290968. Its totient is φ = 30909211909120.

The previous prime is 34000133100019. The next prime is 34000133100047.

It is a happy number.

34000133100043 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34000133100043 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34000133099987 and 34000133100023.

It is not an unprimeable number, because it can be changed into a prime (34000133100047) 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 3 ways as a sum of consecutive naturals, for example, 1545460595446 + ... + 1545460595467.

It is an arithmetic number, because the mean of its divisors is an integer number (9272763572742).

Almost surely, 2^{34000133100043} is an apocalyptic number.

34000133100043 is a deficient number, since it is larger than the sum of its proper divisors (3090921190925).

34000133100043 is a wasteful number, since it uses less digits than its factorization.

34000133100043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090921190924.

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 3400013 and 3100043, that added together give a palindrome (6500056).

The spelling of 34000133100043 in words is "thirty-four trillion, one hundred thirty-three million, one hundred thousand, forty-three".