31312232113133 has 2 divisors, whose sum is σ = 31312232113134. Its totient is φ = 31312232113132.

The previous prime is 31312232113021. The next prime is 31312232113187. The reversal of 31312232113133 is 33131123221313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31223531191204 + 88700921929 = 5587802^2 + 297827^2 .

It is a cyclic number.

It is not a de Polignac number, because 31312232113133 - 2²⁰ = 31312231064557 is a prime.

It is a super-2 number, since 2×31312232113133² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31312232113096 and 31312232113105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31312232113193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15656116056566 + 15656116056567.

It is an arithmetic number, because the mean of its divisors is an integer number (15656116056567).

Almost surely, 2^{31312232113133} is an apocalyptic number.

It is an amenable number.

31312232113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31312232113133 is an equidigital number, since it uses as much as digits as its factorization.

31312232113133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 29.

Adding to 31312232113133 its reverse (33131123221313), we get a palindrome (64443355334446).

The spelling of 31312232113133 in words is "thirty-one trillion, three hundred twelve billion, two hundred thirty-two million, one hundred thirteen thousand, one hundred thirty-three".