130133330002300 has 144 divisors (see below), whose sum is σ = 302981175151200. Its totient is φ = 48363949670400.

The previous prime is 130133330002271. The next prime is 130133330002307. The reversal of 130133330002300 is 3200033331031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130133330002307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 253608396 + ... + 254121004.

It is an arithmetic number, because the mean of its divisors is an integer number (2104035938550).

Almost surely, 2^{130133330002300} is an apocalyptic number.

130133330002300 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 130133330002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151490587575600).

130133330002300 is an abundant number, since it is smaller than the sum of its proper divisors (172847845148900).

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

130133330002300 is a wasteful number, since it uses less digits than its factorization.

130133330002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515216 (or 515209 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 130133330002300 its reverse (3200033331031), we get a palindrome (133333363333331).

The spelling of 130133330002300 in words is "one hundred thirty trillion, one hundred thirty-three billion, three hundred thirty million, two thousand, three hundred".