130587033600 has 720 divisors, whose sum is σ = 496949052600. Its totient is φ = 33973862400.

The previous prime is 130587033589. The next prime is 130587033631. The reversal of 130587033600 is 6330785031.

130587033600 is a `hidden beast` number, since 13 + 0 + 5 + 8 + 7 + 0 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×130587033600³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3185049580 + ... + 3185049620.

Almost surely, 2^130587033600 is an apocalyptic number.

130587033600 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 130587033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248474526300).

130587033600 is an abundant number, since it is smaller than the sum of its proper divisors (366362019000).

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

130587033600 is an frugal number, since it uses more digits than its factorization.

130587033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 130587033600 in words is "one hundred thirty billion, five hundred eighty-seven million, thirty-three thousand, six hundred".