10212223221313 has 2 divisors, whose sum is σ = 10212223221314. Its totient is φ = 10212223221312.

The previous prime is 10212223221283. The next prime is 10212223221329. The reversal of 10212223221313 is 31312232221201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9202383132849 + 1009840088464 = 3033543^2 + 1004908^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212223221313 - 2²⁹ = 10211686350401 is a prime.

It is a super-3 number, since 3×10212223221313³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10212223221383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106111610656 + 5106111610657.

It is an arithmetic number, because the mean of its divisors is an integer number (5106111610657).

Almost surely, 2^{10212223221313} is an apocalyptic number.

It is an amenable number.

10212223221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212223221313 is an equidigital number, since it uses as much as digits as its factorization.

10212223221313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10212223221313 its reverse (31312232221201), we get a palindrome (41524455442514).

The spelling of 10212223221313 in words is "ten trillion, two hundred twelve billion, two hundred twenty-three million, two hundred twenty-one thousand, three hundred thirteen".