130434444323100 has 576 divisors, whose sum is σ = 434580718387200. Its totient is φ = 33526130688000.

The previous prime is 130434444323063. The next prime is 130434444323119. The reversal of 130434444323100 is 1323444434031.

130434444323100 is a `hidden beast` number, since 1 + 30 + 43 + 44 + 443 + 2 + 3 + 100 = 666.

It is a super-2 number, since 2×130434444323100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23421517116 + ... + 23421522684.

Almost surely, 2^{130434444323100} is an apocalyptic number.

130434444323100 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 130434444323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217290359193600).

130434444323100 is an abundant number, since it is smaller than the sum of its proper divisors (304146274064100).

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

130434444323100 is a wasteful number, since it uses less digits than its factorization.

130434444323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 130434444323100 its reverse (1323444434031), we get a palindrome (131757888757131).

The spelling of 130434444323100 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, three hundred twenty-three thousand, one hundred".