1010564113133 has 2 divisors, whose sum is σ = 1010564113134. Its totient is φ = 1010564113132.

The previous prime is 1010564113109. The next prime is 1010564113147. The reversal of 1010564113133 is 3313114650101.

It is a happy number.

1010564113133 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., 885249529129 + 125314584004 = 940877^2 + 353998^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010564113133 - 2²⁶ = 1010497004269 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010564113096 and 1010564113105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010564113633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505282056566 + 505282056567.

It is an arithmetic number, because the mean of its divisors is an integer number (505282056567).

Almost surely, 2^{1010564113133} is an apocalyptic number.

It is an amenable number.

1010564113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010564113133 is an equidigital number, since it uses as much as digits as its factorization.

1010564113133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 1010564113133 its reverse (3313114650101), we get a palindrome (4323678763234).

The spelling of 1010564113133 in words is "one trillion, ten billion, five hundred sixty-four million, one hundred thirteen thousand, one hundred thirty-three".