34333112313 has 12 divisors (see below), whose sum is σ = 49600255588. Its totient is φ = 22885057440.

The previous prime is 34333112291. The next prime is 34333112329. The reversal of 34333112313 is 31321133343.

34333112313 is a `hidden beast` number, since 3 + 4 + 3 + 331 + 12 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33886550889 + 446561424 = 184083^2 + 21132^2 .

It is not a de Polignac number, because 34333112313 - 2²² = 34328918009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34333112213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247378 + ... + 360363.

Almost surely, 2^34333112313 is an apocalyptic number.

It is an amenable number.

34333112313 is a deficient number, since it is larger than the sum of its proper divisors (15267143275).

34333112313 is a wasteful number, since it uses less digits than its factorization.

34333112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614024 (or 614021 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 34333112313 its reverse (31321133343), we get a palindrome (65654245656).

The spelling of 34333112313 in words is "thirty-four billion, three hundred thirty-three million, one hundred twelve thousand, three hundred thirteen".