31132312033 has 2 divisors, whose sum is σ = 31132312034. Its totient is φ = 31132312032.

The previous prime is 31132311953. The next prime is 31132312039. The reversal of 31132312033 is 33021323113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16995815424 + 14136496609 = 130368^2 + 118897^2 .

It is an emirp because it is prime and its reverse (33021323113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31132312033 - 2²⁵ = 31098757601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31132311995 and 31132312013.

It is not a weakly prime, because it can be changed into another prime (31132312039) 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, 15566156016 + 15566156017.

It is an arithmetic number, because the mean of its divisors is an integer number (15566156017).

Almost surely, 2^31132312033 is an apocalyptic number.

It is an amenable number.

31132312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31132312033 is an equidigital number, since it uses as much as digits as its factorization.

31132312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31132312033 its reverse (33021323113), we get a palindrome (64153635146).

The spelling of 31132312033 in words is "thirty-one billion, one hundred thirty-two million, three hundred twelve thousand, thirty-three".