34130613160500 has 96 divisors (see below), whose sum is σ = 99612700387200. Its totient is φ = 9080951526400.

The previous prime is 34130613160493. The next prime is 34130613160537. The reversal of 34130613160500 is 506131603143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25016925 + ... + 26345924.

It is an arithmetic number, because the mean of its divisors is an integer number (1037632295700).

Almost surely, 2^{34130613160500} is an apocalyptic number.

34130613160500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34130613160500 is an abundant number, since it is smaller than the sum of its proper divisors (65482087226700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34130613160500 is a wasteful number, since it uses less digits than its factorization.

34130613160500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51363314 (or 51363302 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 34130613160500 its reverse (506131603143), we get a palindrome (34636744763643).

It can be divided in two parts, 341306 and 13160500, that added together give a triangular number (13501806 = T₅₁₉₆).

The spelling of 34130613160500 in words is "thirty-four trillion, one hundred thirty billion, six hundred thirteen million, one hundred sixty thousand, five hundred".