130020331233000 has 256 divisors, whose sum is σ = 437625526141440. Its totient is φ = 31949531136000.

The previous prime is 130020331232963. The next prime is 130020331233047. The reversal of 130020331233000 is 332133020031.

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 63 ways as a sum of consecutive naturals, for example, 19614045 + ... + 25391955.

It is an arithmetic number, because the mean of its divisors is an integer number (1709474711490).

Almost surely, 2^{130020331233000} is an apocalyptic number.

130020331233000 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 130020331233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218812763070720).

130020331233000 is an abundant number, since it is smaller than the sum of its proper divisors (307605194908440).

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

130020331233000 is a wasteful number, since it uses less digits than its factorization.

130020331233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778525 (or 5778511 counting only the distinct ones).

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

Adding to 130020331233000 its reverse (332133020031), we get a palindrome (130352464253031).

The spelling of 130020331233000 in words is "one hundred thirty trillion, twenty billion, three hundred thirty-one million, two hundred thirty-three thousand".