21312300321313 has 2 divisors, whose sum is σ = 21312300321314. Its totient is φ = 21312300321312.

The previous prime is 21312300321253. The next prime is 21312300321337. The reversal of 21312300321313 is 31312300321312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21243314248209 + 68986073104 = 4609047^2 + 262652^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21312300321313 is a prime.

It is not a weakly prime, because it can be changed into another prime (21312300321353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10656150160656 + 10656150160657.

It is an arithmetic number, because the mean of its divisors is an integer number (10656150160657).

Almost surely, 2^{21312300321313} is an apocalyptic number.

It is an amenable number.

21312300321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21312300321313 is an equidigital number, since it uses as much as digits as its factorization.

21312300321313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 21312300321313 its reverse (31312300321312), we get a palindrome (52624600642625).

Subtracting 21312300321313 from its reverse (31312300321312), we obtain a palindrome (9999999999999).

The spelling of 21312300321313 in words is "twenty-one trillion, three hundred twelve billion, three hundred million, three hundred twenty-one thousand, three hundred thirteen".