101011001011133 has 2 divisors, whose sum is σ = 101011001011134. Its totient is φ = 101011001011132.

The previous prime is 101011001011103. The next prime is 101011001011163. The reversal of 101011001011133 is 331110100110101.

It is a balanced prime because it is at equal distance from previous prime (101011001011103) and next prime (101011001011163).

It can be written as a sum of positive squares in only one way, i.e., 75158270955769 + 25852730055364 = 8669387^2 + 5084558^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011001011133 - 2¹⁰ = 101011001010109 is a prime.

It is a super-2 number, since 2×101011001011133² (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 (101011001011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500505566 + 50505500505567.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500505567).

Almost surely, 2^{101011001011133} is an apocalyptic number.

It is an amenable number.

101011001011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011001011133 is an equidigital number, since it uses as much as digits as its factorization.

101011001011133 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101011001011133 its reverse (331110100110101), we get a palindrome (432121101121234).

The spelling of 101011001011133 in words is "one hundred one trillion, eleven billion, one million, eleven thousand, one hundred thirty-three".