130033024000000 has 392 divisors, whose sum is σ = 354613175424504. Its totient is φ = 47284224000000.

The previous prime is 130033023999959. The next prime is 130033024000127. The reversal of 130033024000000 is 420330031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 1407953824 + ... + 1408046176.

Almost surely, 2^{130033024000000} is an apocalyptic number.

130033024000000 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 130033024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177306587712252).

130033024000000 is an abundant number, since it is smaller than the sum of its proper divisors (224580151424504).

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

130033024000000 is an frugal number, since it uses more digits than its factorization.

130033024000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92420 (or 92371 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 130033024000000 its reverse (420330031), we get a palindrome (130033444330031).

The spelling of 130033024000000 in words is "one hundred thirty trillion, thirty-three billion, twenty-four million", and thus it is an aban number.