10033221013337 has 2 divisors, whose sum is σ = 10033221013338. Its totient is φ = 10033221013336.

The previous prime is 10033221013303. The next prime is 10033221013357. The reversal of 10033221013337 is 73331012233001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6969446880841 + 3063774132496 = 2639971^2 + 1750364^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033221013337 - 2¹² = 10033221009241 is a prime.

It is not a weakly prime, because it can be changed into another prime (10033221013357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016610506668 + 5016610506669.

It is an arithmetic number, because the mean of its divisors is an integer number (5016610506669).

Almost surely, 2^{10033221013337} is an apocalyptic number.

It is an amenable number.

10033221013337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033221013337 is an equidigital number, since it uses as much as digits as its factorization.

10033221013337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 29.

Adding to 10033221013337 its reverse (73331012233001), we get a palindrome (83364233246338).

The spelling of 10033221013337 in words is "ten trillion, thirty-three billion, two hundred twenty-one million, thirteen thousand, three hundred thirty-seven".