21213211313201 has 2 divisors, whose sum is σ = 21213211313202. Its totient is φ = 21213211313200.

The previous prime is 21213211313197. The next prime is 21213211313279. The reversal of 21213211313201 is 10231311231212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12494980710976 + 8718230602225 = 3534824^2 + 2952665^2 .

It is a cyclic number.

It is not a de Polignac number, because 21213211313201 - 2² = 21213211313197 is a prime.

It is not a weakly prime, because it can be changed into another prime (21213211313501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606605656600 + 10606605656601.

It is an arithmetic number, because the mean of its divisors is an integer number (10606605656601).

Almost surely, 2^{21213211313201} is an apocalyptic number.

It is an amenable number.

21213211313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21213211313201 is an equidigital number, since it uses as much as digits as its factorization.

21213211313201 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 21213211313201 its reverse (10231311231212), we get a palindrome (31444522544413).

The spelling of 21213211313201 in words is "twenty-one trillion, two hundred thirteen billion, two hundred eleven million, three hundred thirteen thousand, two hundred one".