21133221013 has 2 divisors, whose sum is σ = 21133221014. Its totient is φ = 21133221012.

The previous prime is 21133220993. The next prime is 21133221023. The reversal of 21133221013 is 31012233112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20244167524 + 889053489 = 142282^2 + 29817^2 .

It is a cyclic number.

It is not a de Polignac number, because 21133221013 - 2⁵ = 21133220981 is a prime.

It is a super-2 number, since 2×21133221013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21133221023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10566610506 + 10566610507.

It is an arithmetic number, because the mean of its divisors is an integer number (10566610507).

Almost surely, 2^21133221013 is an apocalyptic number.

It is an amenable number.

21133221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133221013 is an equidigital number, since it uses as much as digits as its factorization.

21133221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21133221013 its reverse (31012233112), we get a palindrome (52145454125).

The spelling of 21133221013 in words is "twenty-one billion, one hundred thirty-three million, two hundred twenty-one thousand, thirteen".