21240034122133 has 2 divisors, whose sum is σ = 21240034122134. Its totient is φ = 21240034122132.

The previous prime is 21240034122091. The next prime is 21240034122137. The reversal of 21240034122133 is 33122143004212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20261503633284 + 978530488849 = 4501278^2 + 989207^2 .

It is a cyclic number.

It is not a de Polignac number, because 21240034122133 - 2¹³ = 21240034113941 is a prime.

It is a super-2 number, since 2×21240034122133² (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 (21240034122137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10620017061066 + 10620017061067.

It is an arithmetic number, because the mean of its divisors is an integer number (10620017061067).

Almost surely, 2^{21240034122133} is an apocalyptic number.

It is an amenable number.

21240034122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21240034122133 is an equidigital number, since it uses as much as digits as its factorization.

21240034122133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 21240034122133 its reverse (33122143004212), we get a palindrome (54362177126345).

The spelling of 21240034122133 in words is "twenty-one trillion, two hundred forty billion, thirty-four million, one hundred twenty-two thousand, one hundred thirty-three".