102013311313 has 2 divisors, whose sum is σ = 102013311314. Its totient is φ = 102013311312.

The previous prime is 102013311311. The next prime is 102013311317. The reversal of 102013311313 is 313113310201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94508900929 + 7504410384 = 307423^2 + 86628^2 .

It is an emirp because it is prime and its reverse (313113310201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102013311313 - 2¹ = 102013311311 is a prime.

Together with 102013311311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102013311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006655656 + 51006655657.

It is an arithmetic number, because the mean of its divisors is an integer number (51006655657).

Almost surely, 2^102013311313 is an apocalyptic number.

It is an amenable number.

102013311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102013311313 is an equidigital number, since it uses as much as digits as its factorization.

102013311313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 102013311313 its reverse (313113310201), we get a palindrome (415126621514).

The spelling of 102013311313 in words is "one hundred two billion, thirteen million, three hundred eleven thousand, three hundred thirteen".