34123300113 has 16 divisors (see below), whose sum is σ = 52346390400. Its totient is φ = 19368160896.

The previous prime is 34123300111. The next prime is 34123300193. The reversal of 34123300113 is 31100332143.

It is not a de Polignac number, because 34123300113 - 2¹ = 34123300111 is a prime.

It is a super-2 number, since 2×34123300113² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 34123300113.

It is not an unprimeable number, because it can be changed into a prime (34123300111) 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 15 ways as a sum of consecutive naturals, for example, 5449620 + ... + 5455877.

It is an arithmetic number, because the mean of its divisors is an integer number (3271649400).

Almost surely, 2^34123300113 is an apocalyptic number.

It is an amenable number.

34123300113 is a deficient number, since it is larger than the sum of its proper divisors (18223090287).

34123300113 is a wasteful number, since it uses less digits than its factorization.

34123300113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10905656.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 34123300113 its reverse (31100332143), we get a palindrome (65223632256).

The spelling of 34123300113 in words is "thirty-four billion, one hundred twenty-three million, three hundred thousand, one hundred thirteen".