130013203320000 has 6720 divisors, whose sum is σ = 658538200320000. Its totient is φ = 24141680640000.

The previous prime is 130013203319999. The next prime is 130013203320029. The reversal of 130013203320000 is 23302310031.

130013203320000 is a `hidden beast` number, since 1 + 300 + 1 + 32 + 0 + 332 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 653332679901 + ... + 653332680099.

It is an arithmetic number, because the mean of its divisors is an integer number (97996756000).

Almost surely, 2^{130013203320000} is an apocalyptic number.

130013203320000 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 130013203320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329269100160000).

130013203320000 is an abundant number, since it is smaller than the sum of its proper divisors (528524997000000).

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

130013203320000 is a wasteful number, since it uses less digits than its factorization.

130013203320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130013203320000 its reverse (23302310031), we get a palindrome (130036505630031).

The spelling of 130013203320000 in words is "one hundred thirty trillion, thirteen billion, two hundred three million, three hundred twenty thousand".