102313212113 has 24 divisors (see below), whose sum is σ = 126449130600. Its totient is φ = 82384501248.

The previous prime is 102313212103. The next prime is 102313212139. The reversal of 102313212113 is 311212313201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31672609024 + 70640603089 = 177968^2 + 265783^2 .

It is not a de Polignac number, because 102313212113 - 2¹⁰ = 102313211089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102313212103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 920408 + ... + 1025561.

It is an arithmetic number, because the mean of its divisors is an integer number (5268713775).

Almost surely, 2^102313212113 is an apocalyptic number.

It is an amenable number.

102313212113 is a deficient number, since it is larger than the sum of its proper divisors (24135918487).

102313212113 is a wasteful number, since it uses less digits than its factorization.

102313212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946049 (or 1946042 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102313212113 its reverse (311212313201), we get a palindrome (413525525314).

The spelling of 102313212113 in words is "one hundred two billion, three hundred thirteen million, two hundred twelve thousand, one hundred thirteen".