100131221110133 has 2 divisors, whose sum is σ = 100131221110134. Its totient is φ = 100131221110132.

The previous prime is 100131221110121. The next prime is 100131221110147. The reversal of 100131221110133 is 331011122131001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62840388859249 + 37290832250884 = 7927193^2 + 6106622^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131221110133 - 2¹⁰ = 100131221109109 is a prime.

It is a super-2 number, since 2×100131221110133² (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 (100131221110103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065610555066 + 50065610555067.

It is an arithmetic number, because the mean of its divisors is an integer number (50065610555067).

Almost surely, 2^{100131221110133} is an apocalyptic number.

It is an amenable number.

100131221110133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131221110133 is an equidigital number, since it uses as much as digits as its factorization.

100131221110133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 100131221110133 its reverse (331011122131001), we get a palindrome (431142343241134).

The spelling of 100131221110133 in words is "one hundred trillion, one hundred thirty-one billion, two hundred twenty-one million, one hundred ten thousand, one hundred thirty-three".