10223313002401 has 2 divisors, whose sum is σ = 10223313002402. Its totient is φ = 10223313002400.

The previous prime is 10223313002257. The next prime is 10223313002473. The reversal of 10223313002401 is 10420031332201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7597746472801 + 2625566529600 = 2756401^2 + 1620360^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223313002401 - 2⁴¹ = 8024289746849 is a prime.

It is a super-2 number, since 2×10223313002401² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10223313008401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111656501200 + 5111656501201.

It is an arithmetic number, because the mean of its divisors is an integer number (5111656501201).

Almost surely, 2^{10223313002401} is an apocalyptic number.

It is an amenable number.

10223313002401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223313002401 is an equidigital number, since it uses as much as digits as its factorization.

10223313002401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10223313002401 its reverse (10420031332201), we get a palindrome (20643344334602).

The spelling of 10223313002401 in words is "ten trillion, two hundred twenty-three billion, three hundred thirteen million, two thousand, four hundred one".