2033332010113 has 2 divisors, whose sum is σ = 2033332010114. Its totient is φ = 2033332010112.

The previous prime is 2033332010081. The next prime is 2033332010147. The reversal of 2033332010113 is 3110102333302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1964390055489 + 68941954624 = 1401567^2 + 262568^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033332010113 - 2⁵ = 2033332010081 is a prime.

It is not a weakly prime, because it can be changed into another prime (2033332010153) 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, 1016666005056 + 1016666005057.

It is an arithmetic number, because the mean of its divisors is an integer number (1016666005057).

Almost surely, 2^{2033332010113} is an apocalyptic number.

It is an amenable number.

2033332010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033332010113 is an equidigital number, since it uses as much as digits as its factorization.

2033332010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2033332010113 its reverse (3110102333302), we get a palindrome (5143434343415).

The spelling of 2033332010113 in words is "two trillion, thirty-three billion, three hundred thirty-two million, ten thousand, one hundred thirteen".