31211310112133 has 2 divisors, whose sum is σ = 31211310112134. Its totient is φ = 31211310112132.

The previous prime is 31211310112093. The next prime is 31211310112277. The reversal of 31211310112133 is 33121101311213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22600829765089 + 8610480347044 = 4754033^2 + 2934362^2 .

It is a cyclic number.

It is not a de Polignac number, because 31211310112133 - 2¹⁸ = 31211309849989 is a prime.

It is a super-2 number, since 2×31211310112133² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31211310112099 and 31211310112108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31211310112733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15605655056066 + 15605655056067.

It is an arithmetic number, because the mean of its divisors is an integer number (15605655056067).

Almost surely, 2^{31211310112133} is an apocalyptic number.

It is an amenable number.

31211310112133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31211310112133 is an equidigital number, since it uses as much as digits as its factorization.

31211310112133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 31211310112133 its reverse (33121101311213), we get a palindrome (64332411423346).

The spelling of 31211310112133 in words is "thirty-one trillion, two hundred eleven billion, three hundred ten million, one hundred twelve thousand, one hundred thirty-three".