10011105013 has 16 divisors (see below), whose sum is σ = 12621885696. Its totient is φ = 7727679360.

The previous prime is 10011105011. The next prime is 10011105029. The reversal of 10011105013 is 31050111001.

It is a cyclic number.

It is not a de Polignac number, because 10011105013 - 2¹ = 10011105011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10011104984 and 10011105002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011105011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1337881 + ... + 1345342.

It is an arithmetic number, because the mean of its divisors is an integer number (788867856).

Almost surely, 2^10011105013 is an apocalyptic number.

10011105013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10011105013 is a deficient number, since it is larger than the sum of its proper divisors (2610780683).

10011105013 is a wasteful number, since it uses less digits than its factorization.

10011105013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683284.

The product of its (nonzero) digits is 15, while the sum is 13.

Adding to 10011105013 its reverse (31050111001), we get a palindrome (41061216014).

The spelling of 10011105013 in words is "ten billion, eleven million, one hundred five thousand, thirteen".