2033013113213 has 2 divisors, whose sum is σ = 2033013113214. Its totient is φ = 2033013113212.

The previous prime is 2033013113149. The next prime is 2033013113221. The reversal of 2033013113213 is 3123113103302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1759236155044 + 273776958169 = 1326362^2 + 523237^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033013113213 - 2⁶ = 2033013113149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2033013113513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016506556606 + 1016506556607.

It is an arithmetic number, because the mean of its divisors is an integer number (1016506556607).

Almost surely, 2^{2033013113213} is an apocalyptic number.

It is an amenable number.

2033013113213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033013113213 is an equidigital number, since it uses as much as digits as its factorization.

2033013113213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2033013113213 its reverse (3123113103302), we get a palindrome (5156126216515).

The spelling of 2033013113213 in words is "two trillion, thirty-three billion, thirteen million, one hundred thirteen thousand, two hundred thirteen".