101111000111013 has 4 divisors (see below), whose sum is σ = 134814666814688. Its totient is φ = 67407333407340.

The previous prime is 101111000110997. The next prime is 101111000111129. The reversal of 101111000111013 is 310111000111101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 101111000111013 - 2⁴ = 101111000110997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101111000111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111000111213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16851833351833 + ... + 16851833351838.

It is an arithmetic number, because the mean of its divisors is an integer number (33703666703672).

Almost surely, 2^{101111000111013} is an apocalyptic number.

It is an amenable number.

101111000111013 is a deficient number, since it is larger than the sum of its proper divisors (33703666703675).

101111000111013 is an equidigital number, since it uses as much as digits as its factorization.

101111000111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33703666703674.

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 101111000111013 its reverse (310111000111101), we get a palindrome (411222000222114).

The spelling of 101111000111013 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven thousand, thirteen".