31122111133 has 2 divisors, whose sum is σ = 31122111134. Its totient is φ = 31122111132.

The previous prime is 31122111109. The next prime is 31122111173. The reversal of 31122111133 is 33111122113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20775763044 + 10346348089 = 144138^2 + 101717^2 .

It is a cyclic number.

It is not a de Polignac number, because 31122111133 - 2¹⁷ = 31121980061 is a prime.

It is a super-3 number, since 3×31122111133³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31122111133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31122111173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561055566 + 15561055567.

It is an arithmetic number, because the mean of its divisors is an integer number (15561055567).

Almost surely, 2^31122111133 is an apocalyptic number.

It is an amenable number.

31122111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31122111133 is an equidigital number, since it uses as much as digits as its factorization.

31122111133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 19.

Adding to 31122111133 its reverse (33111122113), we get a palindrome (64233233246).

The spelling of 31122111133 in words is "thirty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred thirty-three".