130201020000 has 600 divisors, whose sum is σ = 482238603000. Its totient is φ = 34449408000.

The previous prime is 130201019969. The next prime is 130201020017. The reversal of 130201020000 is 20102031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 289979776 + ... + 289980224.

It is an arithmetic number, because the mean of its divisors is an integer number (803731005).

Almost surely, 2^130201020000 is an apocalyptic number.

130201020000 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 130201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241119301500).

130201020000 is an abundant number, since it is smaller than the sum of its proper divisors (352037583000).

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

130201020000 is an equidigital number, since it uses as much as digits as its factorization.

130201020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 130201020000 its reverse (20102031), we get a palindrome (130221122031).

The spelling of 130201020000 in words is "one hundred thirty billion, two hundred one million, twenty thousand".