100160506133 has 2 divisors, whose sum is σ = 100160506134. Its totient is φ = 100160506132.

The previous prime is 100160506111. The next prime is 100160506157. The reversal of 100160506133 is 331605061001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70064501809 + 30096004324 = 264697^2 + 173482^2 .

It is a cyclic number.

It is not a de Polignac number, because 100160506133 - 2³² = 95865538837 is a prime.

It is a super-2 number, since 2×100160506133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100160566133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50080253066 + 50080253067.

It is an arithmetic number, because the mean of its divisors is an integer number (50080253067).

Almost surely, 2^100160506133 is an apocalyptic number.

It is an amenable number.

100160506133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100160506133 is an equidigital number, since it uses as much as digits as its factorization.

100160506133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 100160506133 its reverse (331605061001), we get a palindrome (431765567134).

The spelling of 100160506133 in words is "one hundred billion, one hundred sixty million, five hundred six thousand, one hundred thirty-three".