1011511405133 has 2 divisors, whose sum is σ = 1011511405134. Its totient is φ = 1011511405132.

The previous prime is 1011511405097. The next prime is 1011511405141. The reversal of 1011511405133 is 3315041151101.

1011511405133 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., 787226758564 + 224284646569 = 887258^2 + 473587^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011511405133 - 2¹⁸ = 1011511142989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011511405153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505755702566 + 505755702567.

It is an arithmetic number, because the mean of its divisors is an integer number (505755702567).

Almost surely, 2^{1011511405133} is an apocalyptic number.

It is an amenable number.

1011511405133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011511405133 is an equidigital number, since it uses as much as digits as its factorization.

1011511405133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 1011511405133 its reverse (3315041151101), we get a palindrome (4326552556234).

The spelling of 1011511405133 in words is "one trillion, eleven billion, five hundred eleven million, four hundred five thousand, one hundred thirty-three".