130511010120000 has 280 divisors, whose sum is σ = 432173273433792. Its totient is φ = 34748620800000.

The previous prime is 130511010119947. The next prime is 130511010120013. The reversal of 130511010120000 is 21010115031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 76071645 + ... + 77768355.

Almost surely, 2^{130511010120000} is an apocalyptic number.

130511010120000 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 130511010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216086636716896).

130511010120000 is an abundant number, since it is smaller than the sum of its proper divisors (301662263313792).

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

130511010120000 is an equidigital number, since it uses as much as digits as its factorization.

130511010120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697387 (or 1697362 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 130511010120000 its reverse (21010115031), we get a palindrome (130532020235031).

The spelling of 130511010120000 in words is "one hundred thirty trillion, five hundred eleven billion, ten million, one hundred twenty thousand".