129315788324100 has 243 divisors, whose sum is σ = 471518703287541. Its totient is φ = 29557348632000.

The previous prime is 129315788324087. The next prime is 129315788324111. The reversal of 129315788324100 is 1423887513921.

The square root of 129315788324100 is 11371710.

It is a perfect power (a square), and thus also a powerful number.

129315788324100 is a `hidden beast` number, since 1 + 2 + 9 + 31 + 578 + 8 + 3 + 24 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46553683796676 + 82762104527424 = 6823026^2 + 9097368^2 .

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 2388032025 + ... + 2388086175.

Almost surely, 2^{129315788324100} is an apocalyptic number.

129315788324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129315788324100 is the 11371710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129315788324100

129315788324100 is an abundant number, since it is smaller than the sum of its proper divisors (342202914963441).

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

129315788324100 is an frugal number, since it uses more digits than its factorization.

129315788324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108336 (or 54168 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 129315788324100 in words is "one hundred twenty-nine trillion, three hundred fifteen billion, seven hundred eighty-eight million, three hundred twenty-four thousand, one hundred".