31331010133 has 2 divisors, whose sum is σ = 31331010134. Its totient is φ = 31331010132.

The previous prime is 31331010131. The next prime is 31331010181. The reversal of 31331010133 is 33101013313.

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., 16925489604 + 14405520529 = 130098^2 + 120023^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331010133 - 2¹ = 31331010131 is a prime.

Together with 31331010131, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 31331010133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31331010131) 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, 15665505066 + 15665505067.

It is an arithmetic number, because the mean of its divisors is an integer number (15665505067).

Almost surely, 2^31331010133 is an apocalyptic number.

It is an amenable number.

31331010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331010133 is an equidigital number, since it uses as much as digits as its factorization.

31331010133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 31331010133 its reverse (33101013313), we get a palindrome (64432023446).

The spelling of 31331010133 in words is "thirty-one billion, three hundred thirty-one million, ten thousand, one hundred thirty-three".