130023233301000 has 512 divisors, whose sum is σ = 452202759590400. Its totient is φ = 30884300697600.

The previous prime is 130023233300959. The next prime is 130023233301011. The reversal of 130023233301000 is 103332320031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2021064834 + ... + 2021129166.

It is an arithmetic number, because the mean of its divisors is an integer number (883208514825).

Almost surely, 2^{130023233301000} is an apocalyptic number.

130023233301000 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 130023233301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226101379795200).

130023233301000 is an abundant number, since it is smaller than the sum of its proper divisors (322179526289400).

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

130023233301000 is a wasteful number, since it uses less digits than its factorization.

130023233301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66186 (or 66172 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 130023233301000 its reverse (103332320031), we get a palindrome (130126565621031).

The spelling of 130023233301000 in words is "one hundred thirty trillion, twenty-three billion, two hundred thirty-three million, three hundred one thousand".