10000130130013 has 4 divisors (see below), whose sum is σ = 10000161828640. Its totient is φ = 10000098431388.

The previous prime is 10000130129981. The next prime is 10000130130019. The reversal of 10000130130013 is 31003103100001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10000130130013 - 2⁵ = 10000130129981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000130129975 and 10000130130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000130130019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15371295 + ... + 16008652.

It is an arithmetic number, because the mean of its divisors is an integer number (2500040457160).

Almost surely, 2^{10000130130013} is an apocalyptic number.

It is an amenable number.

10000130130013 is a deficient number, since it is larger than the sum of its proper divisors (31698627).

10000130130013 is an equidigital number, since it uses as much as digits as its factorization.

10000130130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31698626.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10000130130013 its reverse (31003103100001), we get a palindrome (41003233230014).

The spelling of 10000130130013 in words is "ten trillion, one hundred thirty million, one hundred thirty thousand, thirteen".