10001120013 has 6 divisors (see below), whose sum is σ = 14446062254. Its totient is φ = 6667413336.

The previous prime is 10001120011. The next prime is 10001120021. The reversal of 10001120013 is 31002110001.

10001120013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9892689444 + 108430569 = 99462^2 + 10413^2 .

It is not a de Polignac number, because 10001120013 - 2¹ = 10001120011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111235557 = 10001120013 / (1 + 0 + 0 + 0 + 1 + 1 + 2 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001119977 and 10001120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001120011) 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 5 ways as a sum of consecutive naturals, for example, 555617770 + ... + 555617787.

Almost surely, 2^10001120013 is an apocalyptic number.

It is an amenable number.

10001120013 is a deficient number, since it is larger than the sum of its proper divisors (4444942241).

10001120013 is a wasteful number, since it uses less digits than its factorization.

10001120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111235563 (or 1111235560 counting only the distinct ones).

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

Adding to 10001120013 its reverse (31002110001), we get a palindrome (41003230014).

The spelling of 10001120013 in words is "ten billion, one million, one hundred twenty thousand, thirteen".