2031033033013 has 2 divisors, whose sum is σ = 2031033033014. Its totient is φ = 2031033033012.

The previous prime is 2031033033011. The next prime is 2031033033023. The reversal of 2031033033013 is 3103303301302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1147248783409 + 883784249604 = 1071097^2 + 940098^2 .

It is a cyclic number.

It is not a de Polignac number, because 2031033033013 - 2¹ = 2031033033011 is a prime.

Together with 2031033033011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2031033033011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1015516516506 + 1015516516507.

It is an arithmetic number, because the mean of its divisors is an integer number (1015516516507).

Almost surely, 2^{2031033033013} is an apocalyptic number.

It is an amenable number.

2031033033013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2031033033013 is an equidigital number, since it uses as much as digits as its factorization.

2031033033013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 2031033033013 its reverse (3103303301302), we get a palindrome (5134336334315).

The spelling of 2031033033013 in words is "two trillion, thirty-one billion, thirty-three million, thirty-three thousand, thirteen".