130434221000313 has 12 divisors (see below), whose sum is σ = 188573656437348. Its totient is φ = 86878299388320.

The previous prime is 130434221000263. The next prime is 130434221000327. The reversal of 130434221000313 is 313000122434031.

It is a happy number.

130434221000313 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 342 + 2 + 1 + 0 + 0 + 0 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62934900655104 + 67499320345209 = 7933152^2 + 8215797^2 .

It is not a de Polignac number, because 130434221000313 - 2²⁴ = 130434204223097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130434221000113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6487318158 + ... + 6487338263.

It is an arithmetic number, because the mean of its divisors is an integer number (15714471369779).

Almost surely, 2^{130434221000313} is an apocalyptic number.

It is an amenable number.

130434221000313 is a deficient number, since it is larger than the sum of its proper divisors (58139435437035).

130434221000313 is a wasteful number, since it uses less digits than its factorization.

130434221000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12974657544 (or 12974657541 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 130434221000313 its reverse (313000122434031), we get a palindrome (443434343434344).

The spelling of 130434221000313 in words is "one hundred thirty trillion, four hundred thirty-four billion, two hundred twenty-one million, three hundred thirteen", and thus it is an aban number.