34100000113 has 8 divisors (see below), whose sum is σ = 34136044200. Its totient is φ = 34063978368.

The previous prime is 34100000111. The next prime is 34100000119. The reversal of 34100000113 is 31100000143.

It can be written as a sum of positive squares in 4 ways, for example, as 3536918784 + 30563081329 = 59472^2 + 174823^2 .

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 34100000113 - 2¹ = 34100000111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34100000093 and 34100000102.

It is not an unprimeable number, because it can be changed into a prime (34100000111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5384733 + ... + 5391061.

It is an arithmetic number, because the mean of its divisors is an integer number (4267005525).

Almost surely, 2^34100000113 is an apocalyptic number.

It is an amenable number.

34100000113 is a deficient number, since it is larger than the sum of its proper divisors (36044087).

34100000113 is a wasteful number, since it uses less digits than its factorization.

34100000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11171.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 34100000113 its reverse (31100000143), we get a palindrome (65200000256).

The spelling of 34100000113 in words is "thirty-four billion, one hundred million, one hundred thirteen", and thus it is an aban number.