101001011011133 has 2 divisors, whose sum is σ = 101001011011134. Its totient is φ = 101001011011132.

The previous prime is 101001011011097. The next prime is 101001011011139. The reversal of 101001011011133 is 331110110100101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81505271512729 + 19495739498404 = 9028027^2 + 4415398^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001011011133 is a prime.

It is a super-2 number, since 2×101001011011133² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001011011139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505505566 + 50500505505567.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505505567).

Almost surely, 2^{101001011011133} is an apocalyptic number.

It is an amenable number.

101001011011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001011011133 is an equidigital number, since it uses as much as digits as its factorization.

101001011011133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 101001011011133 its reverse (331110110100101), we get a palindrome (432111121111234).

The spelling of 101001011011133 in words is "one hundred one trillion, one billion, eleven million, eleven thousand, one hundred thirty-three".