130073088000 has 416 divisors, whose sum is σ = 455713165440. Its totient is φ = 32853196800.

The previous prime is 130073087999. The next prime is 130073088007. The reversal of 130073088000 is 880370031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130073088007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29181772 + ... + 29186228.

It is an arithmetic number, because the mean of its divisors is an integer number (1095464340).

Almost surely, 2^130073088000 is an apocalyptic number.

130073088000 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 130073088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227856582720).

130073088000 is an abundant number, since it is smaller than the sum of its proper divisors (325640077440).

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

130073088000 is an equidigital number, since it uses as much as digits as its factorization.

130073088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 130073088000 in words is "one hundred thirty billion, seventy-three million, eighty-eight thousand".