101111000013 has 6 divisors (see below), whose sum is σ = 146049222254. Its totient is φ = 67407333336.

The previous prime is 101110999999. The next prime is 101111000057. The reversal of 101111000013 is 310000111101.

It can be written as a sum of positive squares in only one way, i.e., 54495167364 + 46615832649 = 233442^2 + 215907^2 .

It is not a de Polignac number, because 101111000013 - 2⁵ = 101110999981 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: 11234555557 = 101111000013 / (1 + 0 + 1 + 1 + 1 + 1 + 0 + 0 + 0 + 0 + 1 + 3).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101110999959 and 101111000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111000093) 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 5 ways as a sum of consecutive naturals, for example, 5617277770 + ... + 5617277787.

Almost surely, 2^101111000013 is an apocalyptic number.

It is an amenable number.

101111000013 is a deficient number, since it is larger than the sum of its proper divisors (44938222241).

101111000013 is a wasteful number, since it uses less digits than its factorization.

101111000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11234555563 (or 11234555560 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 101111000013 its reverse (310000111101), we get a palindrome (411111111114).

The spelling of 101111000013 in words is "one hundred one billion, one hundred eleven million, thirteen", and thus it is an aban number.