1011133322113 has 2 divisors, whose sum is σ = 1011133322114. Its totient is φ = 1011133322112.

The previous prime is 1011133322093. The next prime is 1011133322123. The reversal of 1011133322113 is 3112233311101.

1011133322113 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., 805664217744 + 205469104369 = 897588^2 + 453287^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011133322113 - 2¹³ = 1011133313921 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011133322123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505566661056 + 505566661057.

It is an arithmetic number, because the mean of its divisors is an integer number (505566661057).

Almost surely, 2^{1011133322113} is an apocalyptic number.

It is an amenable number.

1011133322113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011133322113 is an equidigital number, since it uses as much as digits as its factorization.

1011133322113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 1011133322113 its reverse (3112233311101), we get a palindrome (4123366633214).

The spelling of 1011133322113 in words is "one trillion, eleven billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred thirteen".