31312101333361 has 2 divisors, whose sum is σ = 31312101333362. Its totient is φ = 31312101333360.

The previous prime is 31312101333349. The next prime is 31312101333437. The reversal of 31312101333361 is 16333310121313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21984085860961 + 9328015472400 = 4688719^2 + 3054180^2 .

It is a cyclic number.

It is not a de Polignac number, because 31312101333361 - 2⁵ = 31312101333329 is a prime.

It is not a weakly prime, because it can be changed into another prime (31312101933361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656050666680 + 15656050666681.

It is an arithmetic number, because the mean of its divisors is an integer number (15656050666681).

Almost surely, 2^{31312101333361} is an apocalyptic number.

It is an amenable number.

31312101333361 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312101333361 is an equidigital number, since it uses as much as digits as its factorization.

31312101333361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

Adding to 31312101333361 its reverse (16333310121313), we get a palindrome (47645411454674).

The spelling of 31312101333361 in words is "thirty-one trillion, three hundred twelve billion, one hundred one million, three hundred thirty-three thousand, three hundred sixty-one".