21133313137 has 2 divisors, whose sum is σ = 21133313138. Its totient is φ = 21133313136.

The previous prime is 21133313083. The next prime is 21133313143. The reversal of 21133313137 is 73131333112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20244736656 + 888576481 = 142284^2 + 29809^2 .

It is a cyclic number.

It is not a de Polignac number, because 21133313137 - 2⁷ = 21133313009 is a prime.

It is not a weakly prime, because it can be changed into another prime (21133313197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10566656568 + 10566656569.

It is an arithmetic number, because the mean of its divisors is an integer number (10566656569).

Almost surely, 2^21133313137 is an apocalyptic number.

It is an amenable number.

21133313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133313137 is an equidigital number, since it uses as much as digits as its factorization.

21133313137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3402, while the sum is 28.

Adding to 21133313137 its reverse (73131333112), we get a palindrome (94264646249).

The spelling of 21133313137 in words is "twenty-one billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred thirty-seven".