10221133341113 has 2 divisors, whose sum is σ = 10221133341114. Its totient is φ = 10221133341112.

The previous prime is 10221133341103. The next prime is 10221133341127. The reversal of 10221133341113 is 31114333112201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10219325645824 + 1807695289 = 3196768^2 + 42517^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221133341113 - 2¹⁴ = 10221133324729 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221133341103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110566670556 + 5110566670557.

It is an arithmetic number, because the mean of its divisors is an integer number (5110566670557).

Almost surely, 2^{10221133341113} is an apocalyptic number.

It is an amenable number.

10221133341113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221133341113 is an equidigital number, since it uses as much as digits as its factorization.

10221133341113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 10221133341113 its reverse (31114333112201), we get a palindrome (41335466453314).

The spelling of 10221133341113 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-three million, three hundred forty-one thousand, one hundred thirteen".