34200313013305 has 16 divisors (see below), whose sum is σ = 42673486892544. Its totient is φ = 26284394067840.

The previous prime is 34200313013297. The next prime is 34200313013351. The reversal of 34200313013305 is 50331031300243.

It is not a de Polignac number, because 34200313013305 - 2³ = 34200313013297 is a prime.

It is a super-2 number, since 2×34200313013305² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805260447 + ... + 805302916.

It is an arithmetic number, because the mean of its divisors is an integer number (2667092930784).

Almost surely, 2^{34200313013305} is an apocalyptic number.

It is an amenable number.

34200313013305 is a deficient number, since it is larger than the sum of its proper divisors (8473173879239).

34200313013305 is a wasteful number, since it uses less digits than its factorization.

34200313013305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610563536.

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 34200313013305 its reverse (50331031300243), we get a palindrome (84531344313548).

The spelling of 34200313013305 in words is "thirty-four trillion, two hundred billion, three hundred thirteen million, thirteen thousand, three hundred five".