130641100800 has 408 divisors, whose sum is σ = 493825196736. Its totient is φ = 29852958720.

The previous prime is 130641100661. The next prime is 130641100823. The reversal of 130641100800 is 8001146031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34404502 + ... + 34408298.

Almost surely, 2^130641100800 is an apocalyptic number.

130641100800 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 130641100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246912598368).

130641100800 is an abundant number, since it is smaller than the sum of its proper divisors (363184095936).

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

130641100800 is an frugal number, since it uses more digits than its factorization.

130641100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 130641100800 its reverse (8001146031), we get a palindrome (138642246831).

The spelling of 130641100800 in words is "one hundred thirty billion, six hundred forty-one million, one hundred thousand, eight hundred".