10223133244013 has 2 divisors, whose sum is σ = 10223133244014. Its totient is φ = 10223133244012.

The previous prime is 10223133243989. The next prime is 10223133244081. The reversal of 10223133244013 is 31044233132201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6045761368969 + 4177371875044 = 2458813^2 + 2043862^2 .

It is an emirp because it is prime and its reverse (31044233132201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10223133244013 - 2⁴² = 5825086732909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10223133244813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111566622006 + 5111566622007.

It is an arithmetic number, because the mean of its divisors is an integer number (5111566622007).

Almost surely, 2^{10223133244013} is an apocalyptic number.

It is an amenable number.

10223133244013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223133244013 is an equidigital number, since it uses as much as digits as its factorization.

10223133244013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 10223133244013 its reverse (31044233132201), we get a palindrome (41267366376214).

The spelling of 10223133244013 in words is "ten trillion, two hundred twenty-three billion, one hundred thirty-three million, two hundred forty-four thousand, thirteen".