102212333001313 has 2 divisors, whose sum is σ = 102212333001314. Its totient is φ = 102212333001312.

The previous prime is 102212333001293. The next prime is 102212333001397. The reversal of 102212333001313 is 313100333212201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79959489188049 + 22252843813264 = 8942007^2 + 4717292^2 .

It is a cyclic number.

It is not a de Polignac number, because 102212333001313 - 2⁴¹ = 100013309745761 is a prime.

It is a super-2 number, since 2×102212333001313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102212333001113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106166500656 + 51106166500657.

It is an arithmetic number, because the mean of its divisors is an integer number (51106166500657).

Almost surely, 2^{102212333001313} is an apocalyptic number.

It is an amenable number.

102212333001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102212333001313 is an equidigital number, since it uses as much as digits as its factorization.

102212333001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 102212333001313 its reverse (313100333212201), we get a palindrome (415312666213514).

The spelling of 102212333001313 in words is "one hundred two trillion, two hundred twelve billion, three hundred thirty-three million, one thousand, three hundred thirteen".