31302013230221 has 2 divisors, whose sum is σ = 31302013230222. Its totient is φ = 31302013230220.

The previous prime is 31302013230209. The next prime is 31302013230223. The reversal of 31302013230221 is 12203231020313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31278729522121 + 23283708100 = 5592739^2 + 152590^2 .

It is a cyclic number.

It is not a de Polignac number, because 31302013230221 - 2²⁶ = 31301946121357 is a prime.

Together with 31302013230223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31302013230223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15651006615110 + 15651006615111.

It is an arithmetic number, because the mean of its divisors is an integer number (15651006615111).

Almost surely, 2^{31302013230221} is an apocalyptic number.

It is an amenable number.

31302013230221 is a deficient number, since it is larger than the sum of its proper divisors (1).

31302013230221 is an equidigital number, since it uses as much as digits as its factorization.

31302013230221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 31302013230221 its reverse (12203231020313), we get a palindrome (43505244250534).

The spelling of 31302013230221 in words is "thirty-one trillion, three hundred two billion, thirteen million, two hundred thirty thousand, two hundred twenty-one".