1305430022130 has 256 divisors, whose sum is σ = 3653990161920. Its totient is φ = 295678107648.

The previous prime is 1305430022119. The next prime is 1305430022191. The reversal of 1305430022130 is 312200345031.

It is a self number, because there is not a number n which added to its sum of digits gives 1305430022130.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169159032 + ... + 169166748.

It is an arithmetic number, because the mean of its divisors is an integer number (14273399070).

Almost surely, 2^{1305430022130} is an apocalyptic number.

1305430022130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305430022130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826995080960).

1305430022130 is an abundant number, since it is smaller than the sum of its proper divisors (2348560139790).

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

1305430022130 is a wasteful number, since it uses less digits than its factorization.

1305430022130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 1305430022130 its reverse (312200345031), we get a palindrome (1617630367161).

The spelling of 1305430022130 in words is "one trillion, three hundred five billion, four hundred thirty million, twenty-two thousand, one hundred thirty".