2033442113137 has 2 divisors, whose sum is σ = 2033442113138. Its totient is φ = 2033442113136.

The previous prime is 2033442113123. The next prime is 2033442113239. The reversal of 2033442113137 is 7313112443302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1903210625761 + 130231487376 = 1379569^2 + 360876^2 .

It is a cyclic number.

It is not a de Polignac number, because 2033442113137 - 2⁷ = 2033442113009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2033442113537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016721056568 + 1016721056569.

It is an arithmetic number, because the mean of its divisors is an integer number (1016721056569).

Almost surely, 2^{2033442113137} is an apocalyptic number.

It is an amenable number.

2033442113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033442113137 is an equidigital number, since it uses as much as digits as its factorization.

2033442113137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 34.

Adding to 2033442113137 its reverse (7313112443302), we get a palindrome (9346554556439).

The spelling of 2033442113137 in words is "two trillion, thirty-three billion, four hundred forty-two million, one hundred thirteen thousand, one hundred thirty-seven".