33131442013 has 2 divisors, whose sum is σ = 33131442014. Its totient is φ = 33131442012.

The previous prime is 33131441999. The next prime is 33131442061. The reversal of 33131442013 is 31024413133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32285621124 + 845820889 = 179682^2 + 29083^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33131442013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33131443013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565721006 + 16565721007.

It is an arithmetic number, because the mean of its divisors is an integer number (16565721007).

Almost surely, 2^33131442013 is an apocalyptic number.

It is an amenable number.

33131442013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33131442013 is an equidigital number, since it uses as much as digits as its factorization.

33131442013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 33131442013 its reverse (31024413133), we get a palindrome (64155855146).

The spelling of 33131442013 in words is "thirty-three billion, one hundred thirty-one million, four hundred forty-two thousand, thirteen".