130820289000 has 64 divisors (see below), whose sum is σ = 408159311040. Its totient is φ = 34885409600.

The previous prime is 130820288999. The next prime is 130820289007. The reversal of 130820289000 is 982028031.

It is a super-2 number, since 2×130820289000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130820289007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21800382 + ... + 21806381.

It is an arithmetic number, because the mean of its divisors is an integer number (6377489235).

Almost surely, 2^130820289000 is an apocalyptic number.

130820289000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130820289000 is an abundant number, since it is smaller than the sum of its proper divisors (277339022040).

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

130820289000 is a wasteful number, since it uses less digits than its factorization.

130820289000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43606787 (or 43606773 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 130820289000 in words is "one hundred thirty billion, eight hundred twenty million, two hundred eighty-nine thousand".