31313133333121 has 2 divisors, whose sum is σ = 31313133333122. Its totient is φ = 31313133333120.

The previous prime is 31313133333089. The next prime is 31313133333127. The reversal of 31313133333121 is 12133333131313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25557625257025 + 5755508076096 = 5055455^2 + 2399064^2 .

It is an emirp because it is prime and its reverse (12133333131313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31313133333121 - 2⁵ = 31313133333089 is a prime.

It is not a weakly prime, because it can be changed into another prime (31313133333127) 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, 15656566666560 + 15656566666561.

It is an arithmetic number, because the mean of its divisors is an integer number (15656566666561).

Almost surely, 2^{31313133333121} is an apocalyptic number.

It is an amenable number.

31313133333121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31313133333121 is an equidigital number, since it uses as much as digits as its factorization.

31313133333121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13122, while the sum is 31.

Adding to 31313133333121 its reverse (12133333131313), we get a palindrome (43446466464434).

The spelling of 31313133333121 in words is "thirty-one trillion, three hundred thirteen billion, one hundred thirty-three million, three hundred thirty-three thousand, one hundred twenty-one".