130661100 has 216 divisors, whose sum is σ = 448651840. Its totient is φ = 32892480.

The previous prime is 130661053. The next prime is 130661123. The reversal of 130661100 is 1166031.

130661100 is a `hidden beast` number, since 1 + 3 + 0 + 661 + 1 + 0 + 0 = 666.

It is a super-3 number, since 3×130661100³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 461559 + ... + 461841.

Almost surely, 2^130661100 is an apocalyptic number.

130661100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130661100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224325920).

130661100 is an abundant number, since it is smaller than the sum of its proper divisors (317990740).

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

130661100 is a wasteful number, since it uses less digits than its factorization.

130661100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130661100 is about 11430.7086394501. The cubic root of 130661100 is about 507.4369679132.

The spelling of 130661100 in words is "one hundred thirty million, six hundred sixty-one thousand, one hundred".