21000201011213 has 2 divisors, whose sum is σ = 21000201011214. Its totient is φ = 21000201011212.

The previous prime is 21000201011149. The next prime is 21000201011261. The reversal of 21000201011213 is 31211010200012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14137697760169 + 6862503251044 = 3760013^2 + 2619638^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000201011213 - 2⁶ = 21000201011149 is a prime.

It is a super-2 number, since 2×21000201011213² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21000201010213) 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, 10500100505606 + 10500100505607.

It is an arithmetic number, because the mean of its divisors is an integer number (10500100505607).

Almost surely, 2^{21000201011213} is an apocalyptic number.

It is an amenable number.

21000201011213 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000201011213 is an equidigital number, since it uses as much as digits as its factorization.

21000201011213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21000201011213 its reverse (31211010200012), we get a palindrome (52211211211225).

The spelling of 21000201011213 in words is "twenty-one trillion, two hundred one million, eleven thousand, two hundred thirteen".