101001111111133 has 2 divisors, whose sum is σ = 101001111111134. Its totient is φ = 101001111111132.

The previous prime is 101001111111119. The next prime is 101001111111151. The reversal of 101001111111133 is 331111111100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96894157571289 + 4106953539844 = 9843483^2 + 2026562^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001111111133 - 2⁵ = 101001111111101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001111111193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500555555566 + 50500555555567.

It is an arithmetic number, because the mean of its divisors is an integer number (50500555555567).

Almost surely, 2^{101001111111133} is an apocalyptic number.

It is an amenable number.

101001111111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001111111133 is an equidigital number, since it uses as much as digits as its factorization.

101001111111133 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 16.

Adding to 101001111111133 its reverse (331111111100101), we get a palindrome (432112222211234).

The spelling of 101001111111133 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred eleven thousand, one hundred thirty-three".