21312020313329 has 2 divisors, whose sum is σ = 21312020313330. Its totient is φ = 21312020313328.

The previous prime is 21312020313169. The next prime is 21312020313371. The reversal of 21312020313329 is 92331302021312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20106256000000 + 1205764313329 = 4484000^2 + 1098073^2 .

It is a cyclic number.

It is not a de Polignac number, because 21312020313329 - 2¹² = 21312020309233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21312020313295 and 21312020313304.

It is not a weakly prime, because it can be changed into another prime (21312020313379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10656010156664 + 10656010156665.

It is an arithmetic number, because the mean of its divisors is an integer number (10656010156665).

Almost surely, 2^{21312020313329} is an apocalyptic number.

It is an amenable number.

21312020313329 is a deficient number, since it is larger than the sum of its proper divisors (1).

21312020313329 is an equidigital number, since it uses as much as digits as its factorization.

21312020313329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 21312020313329 in words is "twenty-one trillion, three hundred twelve billion, twenty million, three hundred thirteen thousand, three hundred twenty-nine".