131112122033 has 2 divisors, whose sum is σ = 131112122034. Its totient is φ = 131112122032.

The previous prime is 131112122023. The next prime is 131112122069. The reversal of 131112122033 is 330221211131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66258878464 + 64853243569 = 257408^2 + 254663^2 .

It is a cyclic number.

It is not a de Polignac number, because 131112122033 - 2¹² = 131112117937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131112121996 and 131112122014.

It is not a weakly prime, because it can be changed into another prime (131112122023) 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, 65556061016 + 65556061017.

It is an arithmetic number, because the mean of its divisors is an integer number (65556061017).

Almost surely, 2^131112122033 is an apocalyptic number.

It is an amenable number.

131112122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131112122033 is an equidigital number, since it uses as much as digits as its factorization.

131112122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131112122033 its reverse (330221211131), we get a palindrome (461333333164).

The spelling of 131112122033 in words is "one hundred thirty-one billion, one hundred twelve million, one hundred twenty-two thousand, thirty-three".