102013323022313 has 2 divisors, whose sum is σ = 102013323022314. Its totient is φ = 102013323022312.

The previous prime is 102013323022291. The next prime is 102013323022319. The reversal of 102013323022313 is 313220323310201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96182682154729 + 5830640867584 = 9807277^2 + 2414672^2 .

It is an emirp because it is prime and its reverse (313220323310201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102013323022313 - 2⁸ = 102013323022057 is a prime.

It is not a weakly prime, because it can be changed into another prime (102013323022319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51006661511156 + 51006661511157.

It is an arithmetic number, because the mean of its divisors is an integer number (51006661511157).

Almost surely, 2^{102013323022313} is an apocalyptic number.

It is an amenable number.

102013323022313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102013323022313 is an equidigital number, since it uses as much as digits as its factorization.

102013323022313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 102013323022313 its reverse (313220323310201), we get a palindrome (415233646332514).

The spelling of 102013323022313 in words is "one hundred two trillion, thirteen billion, three hundred twenty-three million, twenty-two thousand, three hundred thirteen".