101011000011133 has 2 divisors, whose sum is σ = 101011000011134. Its totient is φ = 101011000011132.

The previous prime is 101011000011029. The next prime is 101011000011143. The reversal of 101011000011133 is 331110000110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70865047387044 + 30145952624089 = 8418138^2 + 5490533^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011000011133 - 2¹⁷ = 101010999880061 is a prime.

It is a super-2 number, since 2×101011000011133² (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 (101011000011143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505500005566 + 50505500005567.

It is an arithmetic number, because the mean of its divisors is an integer number (50505500005567).

Almost surely, 2^{101011000011133} is an apocalyptic number.

It is an amenable number.

101011000011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011000011133 is an equidigital number, since it uses as much as digits as its factorization.

101011000011133 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 13.

Adding to 101011000011133 its reverse (331110000110101), we get a palindrome (432121000121234).

The spelling of 101011000011133 in words is "one hundred one trillion, eleven billion, eleven thousand, one hundred thirty-three".