102313103133113 has 2 divisors, whose sum is σ = 102313103133114. Its totient is φ = 102313103133112.

The previous prime is 102313103133077. The next prime is 102313103133139. The reversal of 102313103133113 is 311331301313201.

It is an a-pointer prime, because the next prime (102313103133139) can be obtained adding 102313103133113 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97190653195024 + 5122449938089 = 9858532^2 + 2263283^2 .

It is a cyclic number.

It is not a de Polignac number, because 102313103133113 - 2¹⁰ = 102313103132089 is a prime.

It is not a weakly prime, because it can be changed into another prime (102313103123113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51156551566556 + 51156551566557.

It is an arithmetic number, because the mean of its divisors is an integer number (51156551566557).

Almost surely, 2^{102313103133113} is an apocalyptic number.

It is an amenable number.

102313103133113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102313103133113 is an equidigital number, since it uses as much as digits as its factorization.

102313103133113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

Adding to 102313103133113 its reverse (311331301313201), we get a palindrome (413644404446314).

The spelling of 102313103133113 in words is "one hundred two trillion, three hundred thirteen billion, one hundred three million, one hundred thirty-three thousand, one hundred thirteen".