13021320130130 has 64 divisors (see below), whose sum is σ = 26351276767200. Its totient is φ = 4599495290880.

The previous prime is 13021320130121. The next prime is 13021320130139. The reversal of 13021320130130 is 3103102312031.

It is an interprime number because it is at equal distance from previous prime (13021320130121) and next prime (13021320130139).

It can be written as a sum of positive squares in 16 ways, for example, as 3857386344529 + 9163933785601 = 1964023^2 + 3027199^2 .

It is not an unprimeable number, because it can be changed into a prime (13021320130139) 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 31 ways as a sum of consecutive naturals, for example, 15432791 + ... + 16254650.

Almost surely, 2^{13021320130130} is an apocalyptic number.

13021320130130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13021320130130 is an abundant number, since it is smaller than the sum of its proper divisors (13329956637070).

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

13021320130130 is a wasteful number, since it uses less digits than its factorization.

13021320130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31687599.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13021320130130 its reverse (3103102312031), we get a palindrome (16124422442161).

The spelling of 13021320130130 in words is "thirteen trillion, twenty-one billion, three hundred twenty million, one hundred thirty thousand, one hundred thirty".