10213222113337 has 2 divisors, whose sum is σ = 10213222113338. Its totient is φ = 10213222113336.

The previous prime is 10213222113173. The next prime is 10213222113343. The reversal of 10213222113337 is 73331122231201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9455157605776 + 758064507561 = 3074924^2 + 870669^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213222113337 - 2¹⁵ = 10213222080569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213222113299 and 10213222113308.

It is not a weakly prime, because it can be changed into another prime (10213222113937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106611056668 + 5106611056669.

It is an arithmetic number, because the mean of its divisors is an integer number (5106611056669).

Almost surely, 2^{10213222113337} is an apocalyptic number.

It is an amenable number.

10213222113337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213222113337 is an equidigital number, since it uses as much as digits as its factorization.

10213222113337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 10213222113337 its reverse (73331122231201), we get a palindrome (83544344344538).

The spelling of 10213222113337 in words is "ten trillion, two hundred thirteen billion, two hundred twenty-two million, one hundred thirteen thousand, three hundred thirty-seven".