130434443140100 has 576 divisors, whose sum is σ = 322231800844800. Its totient is φ = 45428613120000.

The previous prime is 130434443140097. The next prime is 130434443140123. The reversal of 130434443140100 is 1041344434031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 98888887241 + ... + 98888888559.

It is an arithmetic number, because the mean of its divisors is an integer number (559430209800).

Almost surely, 2^{130434443140100} is an apocalyptic number.

130434443140100 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 130434443140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161115900422400).

130434443140100 is an abundant number, since it is smaller than the sum of its proper divisors (191797357704700).

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

130434443140100 is a wasteful number, since it uses less digits than its factorization.

130434443140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 130434443140100 its reverse (1041344434031), we get a palindrome (131475787574131).

It can be divided in two parts, 1304344 and 43140100, that added together give a palindrome (44444444).

The spelling of 130434443140100 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-three million, one hundred forty thousand, one hundred".