11516133656033 has 2 divisors, whose sum is σ = 11516133656034. Its totient is φ = 11516133656032.

The previous prime is 11516133656009. The next prime is 11516133656039. The reversal of 11516133656033 is 33065633161511.

11516133656033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9294102196129 + 2222031459904 = 3048623^2 + 1490648^2 .

It is a cyclic number.

It is not a de Polignac number, because 11516133656033 - 2¹⁰ = 11516133655009 is a prime.

It is not a weakly prime, because it can be changed into another prime (11516133656039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5758066828016 + 5758066828017.

It is an arithmetic number, because the mean of its divisors is an integer number (5758066828017).

Almost surely, 2^{11516133656033} is an apocalyptic number.

It is an amenable number.

11516133656033 is a deficient number, since it is larger than the sum of its proper divisors (1).

11516133656033 is an equidigital number, since it uses as much as digits as its factorization.

11516133656033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 437400, while the sum is 44.

The spelling of 11516133656033 in words is "eleven trillion, five hundred sixteen billion, one hundred thirty-three million, six hundred fifty-six thousand, thirty-three".