2033023134313 has 2 divisors, whose sum is σ = 2033023134314. Its totient is φ = 2033023134312.

The previous prime is 2033023134287. The next prime is 2033023134341. The reversal of 2033023134313 is 3134313203302.

It is an a-pointer prime, because the next prime (2033023134341) can be obtained adding 2033023134313 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1243285210729 + 789737923584 = 1115027^2 + 888672^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033023134313 - 2¹⁷ = 2033023003241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2033023134013) 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, 1016511567156 + 1016511567157.

It is an arithmetic number, because the mean of its divisors is an integer number (1016511567157).

Almost surely, 2^{2033023134313} is an apocalyptic number.

It is an amenable number.

2033023134313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033023134313 is an equidigital number, since it uses as much as digits as its factorization.

2033023134313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 2033023134313 its reverse (3134313203302), we get a palindrome (5167336337615).

The spelling of 2033023134313 in words is "two trillion, thirty-three billion, twenty-three million, one hundred thirty-four thousand, three hundred thirteen".