10310012123309 has 2 divisors, whose sum is σ = 10310012123310. Its totient is φ = 10310012123308.

The previous prime is 10310012123293. The next prime is 10310012123329. The reversal of 10310012123309 is 90332121001301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9850477271209 + 459534852100 = 3138547^2 + 677890^2 .

It is an emirp because it is prime and its reverse (90332121001301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10310012123309 - 2⁴ = 10310012123293 is a prime.

It is a super-2 number, since 2×10310012123309² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10310012123329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155006061654 + 5155006061655.

It is an arithmetic number, because the mean of its divisors is an integer number (5155006061655).

Almost surely, 2^{10310012123309} is an apocalyptic number.

It is an amenable number.

10310012123309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10310012123309 is an equidigital number, since it uses as much as digits as its factorization.

10310012123309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 10310012123309 in words is "ten trillion, three hundred ten billion, twelve million, one hundred twenty-three thousand, three hundred nine".