34333133133343 has 16 divisors (see below), whose sum is σ = 39090703410432. Its totient is φ = 29848842760000.

The previous prime is 34333133133293. The next prime is 34333133133353.

34333133133343 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-34333133133343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34333133133296 and 34333133133305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34333133133353) 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, 12512758 + ... + 15007843.

It is an arithmetic number, because the mean of its divisors is an integer number (2443168963152).

Almost surely, 2^{34333133133343} is an apocalyptic number.

34333133133343 is a deficient number, since it is larger than the sum of its proper divisors (4757570277089).

34333133133343 is a wasteful number, since it uses less digits than its factorization.

34333133133343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27525566.

The product of its digits is 944784, while the sum is 40.

It can be divided in two parts, 3433313 and 3133343, that added together give a palindrome (6566656).

The spelling of 34333133133343 in words is "thirty-four trillion, three hundred thirty-three billion, one hundred thirty-three million, one hundred thirty-three thousand, three hundred forty-three".