34130002216305 has 32 divisors (see below), whose sum is σ = 54701229026304. Its totient is φ = 18171618929856.

The previous prime is 34130002216301. The next prime is 34130002216309. The reversal of 34130002216305 is 50361220003143.

It is an interprime number because it is at equal distance from previous prime (34130002216301) and next prime (34130002216309).

It is not a de Polignac number, because 34130002216305 - 2² = 34130002216301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34130002216301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20021262 + ... + 21658968.

It is an arithmetic number, because the mean of its divisors is an integer number (1709413407072).

Almost surely, 2^{34130002216305} is an apocalyptic number.

It is an amenable number.

34130002216305 is a deficient number, since it is larger than the sum of its proper divisors (20571226809999).

34130002216305 is a wasteful number, since it uses less digits than its factorization.

34130002216305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640085.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 34130002216305 its reverse (50361220003143), we get a palindrome (84491222219448).

The spelling of 34130002216305 in words is "thirty-four trillion, one hundred thirty billion, two million, two hundred sixteen thousand, three hundred five".