130434203414130 has 128 divisors (see below), whose sum is σ = 390289536000000. Its totient is φ = 27102982199040.

The previous prime is 130434203414129. The next prime is 130434203414149. The reversal of 130434203414130 is 31414302434031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 130434203414091 and 130434203414100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505181127 + ... + 505439253.

It is an arithmetic number, because the mean of its divisors is an integer number (3049137000000).

Almost surely, 2^{130434203414130} is an apocalyptic number.

130434203414130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130434203414130 is an abundant number, since it is smaller than the sum of its proper divisors (259855332585870).

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

130434203414130 is a wasteful number, since it uses less digits than its factorization.

130434203414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476904.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 130434203414130 its reverse (31414302434031), we get a palindrome (161848505848161).

The spelling of 130434203414130 in words is "one hundred thirty trillion, four hundred thirty-four billion, two hundred three million, four hundred fourteen thousand, one hundred thirty".