34120420113 has 24 divisors (see below), whose sum is σ = 49520678400. Its totient is φ = 20887189440.

The previous prime is 34120420079. The next prime is 34120420133. The reversal of 34120420113 is 31102402143.

It is not a de Polignac number, because 34120420113 - 2⁶ = 34120420049 is a prime.

It is a super-2 number, since 2×34120420113² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34120420113.

It is not an unprimeable number, because it can be changed into a prime (34120420133) 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 23 ways as a sum of consecutive naturals, for example, 79338 + ... + 273011.

It is an arithmetic number, because the mean of its divisors is an integer number (2063361600).

Almost surely, 2^34120420113 is an apocalyptic number.

It is an amenable number.

34120420113 is a deficient number, since it is larger than the sum of its proper divisors (15400258287).

34120420113 is a wasteful number, since it uses less digits than its factorization.

34120420113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352569 (or 352556 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34120420113 its reverse (31102402143), we get a palindrome (65222822256).

The spelling of 34120420113 in words is "thirty-four billion, one hundred twenty million, four hundred twenty thousand, one hundred thirteen".