130819656100 has 81 divisors (see below), whose sum is σ = 330290112033. Its totient is φ = 44843772960.

The previous prime is 130819656049. The next prime is 130819656103. The reversal of 130819656100 is 1656918031.

The square root of 130819656100 is 361690.

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

It can be written as a sum of positive squares in only one way, i.e., 47095076196 + 83724579904 = 217014^2 + 289352^2 .

It is a super-2 number, since 2×130819656100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130819656103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25315717 + ... + 25320883.

Almost surely, 2^130819656100 is an apocalyptic number.

130819656100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130819656100 is the 361690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130819656100

130819656100 is an abundant number, since it is smaller than the sum of its proper divisors (199470455933).

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

130819656100 is an frugal number, since it uses more digits than its factorization.

130819656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10362 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 130819656100 in words is "one hundred thirty billion, eight hundred nineteen million, six hundred fifty-six thousand, one hundred".