10223312311313 has 2 divisors, whose sum is σ = 10223312311314. Its totient is φ = 10223312311312.

The previous prime is 10223312311301. The next prime is 10223312311339. The reversal of 10223312311313 is 31311321332201.

It is an a-pointer prime, because the next prime (10223312311339) can be obtained adding 10223312311313 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8613326913409 + 1609985397904 = 2934847^2 + 1268852^2 .

It is an emirp because it is prime and its reverse (31311321332201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10223312311313 - 2¹² = 10223312307217 is a prime.

It is a super-2 number, since 2×10223312311313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10223312311013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111656155656 + 5111656155657.

It is an arithmetic number, because the mean of its divisors is an integer number (5111656155657).

Almost surely, 2^{10223312311313} is an apocalyptic number.

It is an amenable number.

10223312311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223312311313 is an equidigital number, since it uses as much as digits as its factorization.

10223312311313 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 26.

Adding to 10223312311313 its reverse (31311321332201), we get a palindrome (41534633643514).

The spelling of 10223312311313 in words is "ten trillion, two hundred twenty-three billion, three hundred twelve million, three hundred eleven thousand, three hundred thirteen".