10010113130013 has 32 divisors (see below), whose sum is σ = 13707799672320. Its totient is φ = 6495234613440.

The previous prime is 10010113129967. The next prime is 10010113130051. The reversal of 10010113130013 is 31003131101001.

It is not a de Polignac number, because 10010113130013 - 2⁹ = 10010113129501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010113129974 and 10010113130001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010113930013) 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, 32821006 + ... + 33124592.

It is an arithmetic number, because the mean of its divisors is an integer number (428368739760).

Almost surely, 2^{10010113130013} is an apocalyptic number.

It is an amenable number.

10010113130013 is a deficient number, since it is larger than the sum of its proper divisors (3697686542307).

10010113130013 is a wasteful number, since it uses less digits than its factorization.

10010113130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305497.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10010113130013 its reverse (31003131101001), we get a palindrome (41013244231014).

The spelling of 10010113130013 in words is "ten trillion, ten billion, one hundred thirteen million, one hundred thirty thousand, thirteen".