31031330221313 has 2 divisors, whose sum is σ = 31031330221314. Its totient is φ = 31031330221312.

The previous prime is 31031330221273. The next prime is 31031330221319. The reversal of 31031330221313 is 31312203313013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15885900146944 + 15145430074369 = 3985712^2 + 3891713^2 .

It is a cyclic number.

It is not a de Polignac number, because 31031330221313 - 2⁸ = 31031330221057 is a prime.

It is a super-3 number, since 3×31031330221313³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (31031330221319) 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, 15515665110656 + 15515665110657.

It is an arithmetic number, because the mean of its divisors is an integer number (15515665110657).

Almost surely, 2^{31031330221313} is an apocalyptic number.

It is an amenable number.

31031330221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

31031330221313 is an equidigital number, since it uses as much as digits as its factorization.

31031330221313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 31031330221313 its reverse (31312203313013), we get a palindrome (62343533534326).

The spelling of 31031330221313 in words is "thirty-one trillion, thirty-one billion, three hundred thirty million, two hundred twenty-one thousand, three hundred thirteen".