130823100 has 180 divisors, whose sum is σ = 438596928. Its totient is φ = 33696000.

The previous prime is 130823059. The next prime is 130823111. The reversal of 130823100 is 1328031.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×130823100² = 34229366987220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 250840 + ... + 251360.

Almost surely, 2^130823100 is an apocalyptic number.

130823100 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 130823100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219298464).

130823100 is an abundant number, since it is smaller than the sum of its proper divisors (307773828).

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

130823100 is a wasteful number, since it uses less digits than its factorization.

130823100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130823100 is about 11437.7926192076. The cubic root of 130823100 is about 507.6465963294.

The spelling of 130823100 in words is "one hundred thirty million, eight hundred twenty-three thousand, one hundred".