34113505135131 has 16 divisors (see below), whose sum is σ = 50540027000320. Its totient is φ = 22741661363400.

The previous prime is 34113505135121. The next prime is 34113505135141. The reversal of 34113505135131 is 13153150531143.

34113505135131 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 3 + 5 + 0 + 513 + 5 + 131 = 666.

It is an interprime number because it is at equal distance from previous prime (34113505135121) and next prime (34113505135141).

It is not a de Polignac number, because 34113505135131 - 2⁹ = 34113505134619 is a prime.

It is a super-2 number, since 2×34113505135131² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34113505135121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17834095 + ... + 19654056.

It is an arithmetic number, because the mean of its divisors is an integer number (3158751687520).

Almost surely, 2^{34113505135131} is an apocalyptic number.

34113505135131 is a deficient number, since it is larger than the sum of its proper divisors (16426521865189).

34113505135131 is a wasteful number, since it uses less digits than its factorization.

34113505135131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37521863 (or 37521857 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

Adding to 34113505135131 its reverse (13153150531143), we get a palindrome (47266655666274).

The spelling of 34113505135131 in words is "thirty-four trillion, one hundred thirteen billion, five hundred five million, one hundred thirty-five thousand, one hundred thirty-one".