102113100313 has 16 divisors (see below), whose sum is σ = 116953499520. Its totient is φ = 87336118656.

The previous prime is 102113100293. The next prime is 102113100347. The reversal of 102113100313 is 313001311201.

It is a cyclic number.

It is not a de Polignac number, because 102113100313 - 2¹³ = 102113092121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102113100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6404970 + ... + 6420892.

It is an arithmetic number, because the mean of its divisors is an integer number (7309593720).

Almost surely, 2^102113100313 is an apocalyptic number.

It is an amenable number.

102113100313 is a deficient number, since it is larger than the sum of its proper divisors (14840399207).

102113100313 is a wasteful number, since it uses less digits than its factorization.

102113100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17856.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 102113100313 its reverse (313001311201), we get a palindrome (415114411514).

The spelling of 102113100313 in words is "one hundred two billion, one hundred thirteen million, one hundred thousand, three hundred thirteen".