102781313 has 2 divisors, whose sum is σ = 102781314. Its totient is φ = 102781312.

The previous prime is 102781277. The next prime is 102781351. The reversal of 102781313 is 313187201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90193009 + 12588304 = 9497^2 + 3548^2 .

It is an emirp because it is prime and its reverse (313187201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102781313 - 2¹⁰ = 102780289 is a prime.

It is not a weakly prime, because it can be changed into another prime (102780313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51390656 + 51390657.

It is an arithmetic number, because the mean of its divisors is an integer number (51390657).

Almost surely, 2^102781313 is an apocalyptic number.

It is an amenable number.

102781313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102781313 is an equidigital number, since it uses as much as digits as its factorization.

102781313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 102781313 is about 10138.1119050837. Note that the first 3 decimals coincide. The cubic root of 102781313 is about 468.4228302373.

The spelling of 102781313 in words is "one hundred two million, seven hundred eighty-one thousand, three hundred thirteen".