102111130013 has 4 divisors (see below), whose sum is σ = 102149049948. Its totient is φ = 102073210080.

The previous prime is 102111129997. The next prime is 102111130031. The reversal of 102111130013 is 310031111201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 17498792089 + 84612337924 = 132283^2 + 290882^2 .

It is a cyclic number.

It is not a de Polignac number, because 102111130013 - 2⁴ = 102111129997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102111130013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111130313) 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 3 ways as a sum of consecutive naturals, for example, 18955928 + ... + 18961313.

It is an arithmetic number, because the mean of its divisors is an integer number (25537262487).

Almost surely, 2^102111130013 is an apocalyptic number.

It is an amenable number.

102111130013 is a deficient number, since it is larger than the sum of its proper divisors (37919935).

102111130013 is an equidigital number, since it uses as much as digits as its factorization.

102111130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37919934.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 102111130013 its reverse (310031111201), we get a palindrome (412142241214).

The spelling of 102111130013 in words is "one hundred two billion, one hundred eleven million, one hundred thirty thousand, thirteen".