102116313 has 12 divisors (see below), whose sum is σ = 158847780. Its totient is φ = 62840736.

The previous prime is 102116299. The next prime is 102116321. The reversal of 102116313 is 313611201.

102116313 is a `hidden beast` number, since 10 + 21 + 1 + 631 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 92679129 = 3072^2 + 9627^2 .

It is not a de Polignac number, because 102116313 - 2⁶ = 102116249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102116513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436278 + ... + 436511.

It is an arithmetic number, because the mean of its divisors is an integer number (13237315).

Almost surely, 2^102116313 is an apocalyptic number.

102116313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102116313 is a deficient number, since it is larger than the sum of its proper divisors (56731467).

102116313 is a wasteful number, since it uses less digits than its factorization.

102116313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872808 (or 872805 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 102116313 is about 10105.2616492598. The cubic root of 102116313 is about 467.4104042511.

Adding to 102116313 its reverse (313611201), we get a palindrome (415727514).

The spelling of 102116313 in words is "one hundred two million, one hundred sixteen thousand, three hundred thirteen".