130211020020000 has 960 divisors, whose sum is σ = 460853719603200. Its totient is φ = 32081702400000.

The previous prime is 130211020019963. The next prime is 130211020020017. The reversal of 130211020020000 is 20020112031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7714371561 + ... + 7714388439.

It is an arithmetic number, because the mean of its divisors is an integer number (480055957920).

Almost surely, 2^{130211020020000} is an apocalyptic number.

130211020020000 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 130211020020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230426859801600).

130211020020000 is an abundant number, since it is smaller than the sum of its proper divisors (330642699583200).

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

130211020020000 is a wasteful number, since it uses less digits than its factorization.

130211020020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17099 (or 17076 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130211020020000 its reverse (20020112031), we get a palindrome (130231040132031).

The spelling of 130211020020000 in words is "one hundred thirty trillion, two hundred eleven billion, twenty million, twenty thousand".