34350300013 has 8 divisors (see below), whose sum is σ = 36160110720. Its totient is φ = 32540679360.

The previous prime is 34350300007. The next prime is 34350300059. The reversal of 34350300013 is 31000305343.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34350300013 - 2¹³ = 34350291821 is a prime.

It is a super-2 number, since 2×34350300013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34350300713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465756 + ... + 534442.

It is an arithmetic number, because the mean of its divisors is an integer number (4520013840).

Almost surely, 2^34350300013 is an apocalyptic number.

It is an amenable number.

34350300013 is a deficient number, since it is larger than the sum of its proper divisors (1809810707).

34350300013 is a wasteful number, since it uses less digits than its factorization.

34350300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95027.

The product of its (nonzero) digits is 1620, while the sum is 22.

Adding to 34350300013 its reverse (31000305343), we get a palindrome (65350605356).

The spelling of 34350300013 in words is "thirty-four billion, three hundred fifty million, three hundred thousand, thirteen".