102013102313 has 2 divisors, whose sum is σ = 102013102314. Its totient is φ = 102013102312.

The previous prime is 102013102241. The next prime is 102013102319. The reversal of 102013102313 is 313201310201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73448046169 + 28565056144 = 271013^2 + 169012^2 .

It is a cyclic number.

It is not a de Polignac number, because 102013102313 - 2¹⁴ = 102013085929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102013102291 and 102013102300.

It is not a weakly prime, because it can be changed into another prime (102013102319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006551156 + 51006551157.

It is an arithmetic number, because the mean of its divisors is an integer number (51006551157).

Almost surely, 2^102013102313 is an apocalyptic number.

It is an amenable number.

102013102313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102013102313 is an equidigital number, since it uses as much as digits as its factorization.

102013102313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 102013102313 its reverse (313201310201), we get a palindrome (415214412514).

The spelling of 102013102313 in words is "one hundred two billion, thirteen million, one hundred two thousand, three hundred thirteen".