102111331113 has 24 divisors (see below), whose sum is σ = 170367571296. Its totient is φ = 58245321600.

The previous prime is 102111331097. The next prime is 102111331123. The reversal of 102111331113 is 311133111201.

102111331113 is a `hidden beast` number, since 10 + 211 + 1 + 331 + 113 = 666.

It is not a de Polignac number, because 102111331113 - 2⁴ = 102111331097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102111331123) 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 23 ways as a sum of consecutive naturals, for example, 30334423 + ... + 30337788.

It is an arithmetic number, because the mean of its divisors is an integer number (7098648804).

Almost surely, 2^102111331113 is an apocalyptic number.

It is an amenable number.

102111331113 is a deficient number, since it is larger than the sum of its proper divisors (68256240183).

102111331113 is a wasteful number, since it uses less digits than its factorization.

102111331113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60672245 (or 60672242 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 102111331113 its reverse (311133111201), we get a palindrome (413244442314).

The spelling of 102111331113 in words is "one hundred two billion, one hundred eleven million, three hundred thirty-one thousand, one hundred thirteen".