21213415164133 has 2 divisors, whose sum is σ = 21213415164134. Its totient is φ = 21213415164132.

The previous prime is 21213415164131. The next prime is 21213415164167. The reversal of 21213415164133 is 33146151431212.

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., 13902323730724 + 7311091433409 = 3728582^2 + 2703903^2 .

It is a cyclic number.

It is not a de Polignac number, because 21213415164133 - 2¹ = 21213415164131 is a prime.

Together with 21213415164131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 21213415164092 and 21213415164101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21213415164131) 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, 10606707582066 + 10606707582067.

It is an arithmetic number, because the mean of its divisors is an integer number (10606707582067).

Almost surely, 2^{21213415164133} is an apocalyptic number.

It is an amenable number.

21213415164133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21213415164133 is an equidigital number, since it uses as much as digits as its factorization.

21213415164133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 37.

Adding to 21213415164133 its reverse (33146151431212), we get a palindrome (54359566595345).

The spelling of 21213415164133 in words is "twenty-one trillion, two hundred thirteen billion, four hundred fifteen million, one hundred sixty-four thousand, one hundred thirty-three".