10001120000013 has 12 divisors (see below), whose sum is σ = 14944202299260. Its totient is φ = 6437502528576.

The previous prime is 10001119999963. The next prime is 10001120000161. The reversal of 10001120000013 is 31000002110001.

It can be written as a sum of positive squares in 2 ways, for example, as 4897957675689 + 5103162324324 = 2213133^2 + 2259018^2 .

It is not a de Polignac number, because 10001120000013 - 2²⁶ = 10001052891149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001120000213) 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 11 ways as a sum of consecutive naturals, for example, 19159233456 + ... + 19159233977.

It is an arithmetic number, because the mean of its divisors is an integer number (1245350191605).

Almost surely, 2^{10001120000013} is an apocalyptic number.

It is an amenable number.

10001120000013 is a deficient number, since it is larger than the sum of its proper divisors (4943082299247).

10001120000013 is a wasteful number, since it uses less digits than its factorization.

10001120000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38318467468 (or 38318467465 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001120000013 its reverse (31000002110001), we get a palindrome (41001122110014).

The spelling of 10001120000013 in words is "ten trillion, one billion, one hundred twenty million, thirteen", and thus it is an aban number.