20133032037113 has 2 divisors, whose sum is σ = 20133032037114. Its totient is φ = 20133032037112.

The previous prime is 20133032037031. The next prime is 20133032037137. The reversal of 20133032037113 is 31173023033102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10088170211344 + 10044861825769 = 3176188^2 + 3169363^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20133032037113 is a prime.

It is not a weakly prime, because it can be changed into another prime (20133032237113) 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, 10066516018556 + 10066516018557.

It is an arithmetic number, because the mean of its divisors is an integer number (10066516018557).

Almost surely, 2^{20133032037113} is an apocalyptic number.

It is an amenable number.

20133032037113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20133032037113 is an equidigital number, since it uses as much as digits as its factorization.

20133032037113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 29.

The spelling of 20133032037113 in words is "twenty trillion, one hundred thirty-three billion, thirty-two million, thirty-seven thousand, one hundred thirteen".