33031131073 has 2 divisors, whose sum is σ = 33031131074. Its totient is φ = 33031131072.

The previous prime is 33031131071. The next prime is 33031131103. The reversal of 33031131073 is 37013113033.

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., 32550293889 + 480837184 = 180417^2 + 21928^2 .

It is a cyclic number.

It is not a de Polignac number, because 33031131073 - 2¹ = 33031131071 is a prime.

It is a super-2 number, since 2×33031131073² (a number of 22 digits) contains 22 as substring.

Together with 33031131071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (33031131071) 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, 16515565536 + 16515565537.

It is an arithmetic number, because the mean of its divisors is an integer number (16515565537).

Almost surely, 2^33031131073 is an apocalyptic number.

It is an amenable number.

33031131073 is a deficient number, since it is larger than the sum of its proper divisors (1).

33031131073 is an equidigital number, since it uses as much as digits as its factorization.

33031131073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 25.

The spelling of 33031131073 in words is "thirty-three billion, thirty-one million, one hundred thirty-one thousand, seventy-three".