21321142334137 has 2 divisors, whose sum is σ = 21321142334138. Its totient is φ = 21321142334136.

The previous prime is 21321142334069. The next prime is 21321142334197. The reversal of 21321142334137 is 73143324112312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20008614663801 + 1312527670336 = 4473099^2 + 1145656^2 .

It is a cyclic number.

It is not a de Polignac number, because 21321142334137 - 2²⁷ = 21321008116409 is a prime.

It is a super-2 number, since 2×21321142334137² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21321142334096 and 21321142334105.

It is not a weakly prime, because it can be changed into another prime (21321142334197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10660571167068 + 10660571167069.

It is an arithmetic number, because the mean of its divisors is an integer number (10660571167069).

Almost surely, 2^{21321142334137} is an apocalyptic number.

It is an amenable number.

21321142334137 is a deficient number, since it is larger than the sum of its proper divisors (1).

21321142334137 is an equidigital number, since it uses as much as digits as its factorization.

21321142334137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72576, while the sum is 37.

Adding to 21321142334137 its reverse (73143324112312), we get a palindrome (94464466446449).

The spelling of 21321142334137 in words is "twenty-one trillion, three hundred twenty-one billion, one hundred forty-two million, three hundred thirty-four thousand, one hundred thirty-seven".