10133122213211 has 2 divisors, whose sum is σ = 10133122213212. Its totient is φ = 10133122213210.

The previous prime is 10133122213189. The next prime is 10133122213241. The reversal of 10133122213211 is 11231222133101.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10133122213211 - 2¹⁸ = 10133121951067 is a prime.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (10133122213241) 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, 5066561106605 + 5066561106606.

It is an arithmetic number, because the mean of its divisors is an integer number (5066561106606).

Almost surely, 2^{10133122213211} is an apocalyptic number.

10133122213211 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133122213211 is an equidigital number, since it uses as much as digits as its factorization.

10133122213211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10133122213211 its reverse (11231222133101), we get a palindrome (21364344346312).

The spelling of 10133122213211 in words is "ten trillion, one hundred thirty-three billion, one hundred twenty-two million, two hundred thirteen thousand, two hundred eleven".