101104321300133 has 2 divisors, whose sum is σ = 101104321300134. Its totient is φ = 101104321300132.

The previous prime is 101104321300127. The next prime is 101104321300183. The reversal of 101104321300133 is 331003123401101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100591231312324 + 513089987809 = 10029518^2 + 716303^2 .

It is a cyclic number.

It is not a de Polignac number, because 101104321300133 - 2²⁴ = 101104304522917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101104321300099 and 101104321300108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101104321300123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50552160650066 + 50552160650067.

It is an arithmetic number, because the mean of its divisors is an integer number (50552160650067).

Almost surely, 2^{101104321300133} is an apocalyptic number.

It is an amenable number.

101104321300133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101104321300133 is an equidigital number, since it uses as much as digits as its factorization.

101104321300133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101104321300133 its reverse (331003123401101), we get a palindrome (432107444701234).

The spelling of 101104321300133 in words is "one hundred one trillion, one hundred four billion, three hundred twenty-one million, three hundred thousand, one hundred thirty-three".