101828386857133 has 2 divisors, whose sum is σ = 101828386857134. Its totient is φ = 101828386857132.

The previous prime is 101828386857121. The next prime is 101828386857157. The reversal of 101828386857133 is 331758683828101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57106238855689 + 44722148001444 = 7556867^2 + 6687462^2 .

It is a cyclic number.

It is not a de Polignac number, because 101828386857133 - 2¹³ = 101828386848941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101828386857163) 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, 50914193428566 + 50914193428567.

It is an arithmetic number, because the mean of its divisors is an integer number (50914193428567).

Almost surely, 2^{101828386857133} is an apocalyptic number.

It is an amenable number.

101828386857133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101828386857133 is an equidigital number, since it uses as much as digits as its factorization.

101828386857133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46448640, while the sum is 64.

The spelling of 101828386857133 in words is "one hundred one trillion, eight hundred twenty-eight billion, three hundred eighty-six million, eight hundred fifty-seven thousand, one hundred thirty-three".