262133136101 has 2 divisors, whose sum is σ = 262133136102. Its totient is φ = 262133136100.

The previous prime is 262133136091. The next prime is 262133136107. The reversal of 262133136101 is 101631331262.

262133136101 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., 231985759201 + 30147376900 = 481649^2 + 173630^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-262133136101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (262133136107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131066568050 + 131066568051.

It is an arithmetic number, because the mean of its divisors is an integer number (131066568051).

Almost surely, 2^262133136101 is an apocalyptic number.

It is an amenable number.

262133136101 is a deficient number, since it is larger than the sum of its proper divisors (1).

262133136101 is an equidigital number, since it uses as much as digits as its factorization.

262133136101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 262133136101 its reverse (101631331262), we get a palindrome (363764467363).

The spelling of 262133136101 in words is "two hundred sixty-two billion, one hundred thirty-three million, one hundred thirty-six thousand, one hundred one".