10000000000013 has 8 divisors (see below), whose sum is σ = 10187504999616. Its totient is φ = 9814090788000.

The previous prime is 9999999999971. The next prime is 10000000000037. The reversal of 10000000000013 is 31000000000001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000000000013 - 2³⁶ = 9931280523277 is a prime.

It is a Duffinian number.

10000000000013 is a modest number, since divided by 13 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 9999999999898, 9999999999907 and 10000000000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000000000313) 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 7 ways as a sum of consecutive naturals, for example, 398934248 + ... + 398959313.

It is an arithmetic number, because the mean of its divisors is an integer number (1273438124952).

Almost surely, 2^{10000000000013} is an apocalyptic number.

It is an amenable number.

10000000000013 is a deficient number, since it is larger than the sum of its proper divisors (187504999603).

10000000000013 is an equidigital number, since it uses as much as digits as its factorization.

10000000000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797893795.

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 10000000000013 its reverse (31000000000001), we get a palindrome (41000000000014).

It can be divided in two parts, 1000000000001 and 3, that multiplied together give a palindrome (3000000000003).

The spelling of 10000000000013 in words is "ten trillion, thirteen", and thus it is an aban number and an uban number.