130133213232000 has 1024 divisors, whose sum is σ = 498584357406720. Its totient is φ = 29674291200000.

The previous prime is 130133213231969. The next prime is 130133213232049. The reversal of 130133213232000 is 232312331031.

130133213232000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21156428925 + ... + 21156435075.

It is an arithmetic number, because the mean of its divisors is an integer number (486898786530).

Almost surely, 2^{130133213232000} is an apocalyptic number.

130133213232000 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 130133213232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249292178703360).

130133213232000 is an abundant number, since it is smaller than the sum of its proper divisors (368451144174720).

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

130133213232000 is a wasteful number, since it uses less digits than its factorization.

130133213232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8568 (or 8546 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 130133213232000 its reverse (232312331031), we get a palindrome (130365525563031).

The spelling of 130133213232000 in words is "one hundred thirty trillion, one hundred thirty-three billion, two hundred thirteen million, two hundred thirty-two thousand".