130333105350300 has 288 divisors, whose sum is σ = 421464849523200. Its totient is φ = 30903089725440.

The previous prime is 130333105350299. The next prime is 130333105350353. The reversal of 130333105350300 is 3053501333031.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 32913804 + ... + 36660396.

It is an arithmetic number, because the mean of its divisors is an integer number (1463419616400).

Almost surely, 2^{130333105350300} is an apocalyptic number.

130333105350300 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 130333105350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210732424761600).

130333105350300 is an abundant number, since it is smaller than the sum of its proper divisors (291131744172900).

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

130333105350300 is a wasteful number, since it uses less digits than its factorization.

130333105350300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747005 (or 3746998 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 30.

Adding to 130333105350300 its reverse (3053501333031), we get a palindrome (133386606683331).

The spelling of 130333105350300 in words is "one hundred thirty trillion, three hundred thirty-three billion, one hundred five million, three hundred fifty thousand, three hundred".