130030103313000 has 1152 divisors, whose sum is σ = 499436882904960. Its totient is φ = 30470888448000.

The previous prime is 130030103312981. The next prime is 130030103313023. The reversal of 130030103313000 is 313301030031.

130030103313000 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 30 + 1 + 0 + 331 + 300 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 4542204687 + ... + 4542233313.

It is an arithmetic number, because the mean of its divisors is an integer number (433538960855).

Almost surely, 2^{130030103313000} is an apocalyptic number.

130030103313000 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 130030103313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249718441452480).

130030103313000 is an abundant number, since it is smaller than the sum of its proper divisors (369406779591960).

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

130030103313000 is a wasteful number, since it uses less digits than its factorization.

130030103313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28816 (or 28788 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 130030103313000 its reverse (313301030031), we get a palindrome (130343404343031).

The spelling of 130030103313000 in words is "one hundred thirty trillion, thirty billion, one hundred three million, three hundred thirteen thousand".