130133434320 has 240 divisors, whose sum is σ = 451519910400. Its totient is φ = 33553751040.

The previous prime is 130133434313. The next prime is 130133434363. The reversal of 130133434320 is 23434331031.

130133434320 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 334 + 3 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39928851 + ... + 39932109.

It is an arithmetic number, because the mean of its divisors is an integer number (1881332960).

Almost surely, 2^130133434320 is an apocalyptic number.

130133434320 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 130133434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225759955200).

130133434320 is an abundant number, since it is smaller than the sum of its proper divisors (321386476080).

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

130133434320 is a wasteful number, since it uses less digits than its factorization.

130133434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5098 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 130133434320 its reverse (23434331031), we get a palindrome (153567765351).

It can be divided in two parts, 130133 and 434320, that added together give a triangular number (564453 = T₁₀₆₂).

The spelling of 130133434320 in words is "one hundred thirty billion, one hundred thirty-three million, four hundred thirty-four thousand, three hundred twenty".