10112223310313 has 2 divisors, whose sum is σ = 10112223310314. Its totient is φ = 10112223310312.

The previous prime is 10112223310303. The next prime is 10112223310363. The reversal of 10112223310313 is 31301332221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9227669893264 + 884553417049 = 3037708^2 + 940507^2 .

It is an emirp because it is prime and its reverse (31301332221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112223310313 - 2⁶ = 10112223310249 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112223310303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056111655156 + 5056111655157.

It is an arithmetic number, because the mean of its divisors is an integer number (5056111655157).

Almost surely, 2^{10112223310313} is an apocalyptic number.

It is an amenable number.

10112223310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112223310313 is an equidigital number, since it uses as much as digits as its factorization.

10112223310313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10112223310313 its reverse (31301332221101), we get a palindrome (41413555531414).

The spelling of 10112223310313 in words is "ten trillion, one hundred twelve billion, two hundred twenty-three million, three hundred ten thousand, three hundred thirteen".