101527308073 has 2 divisors, whose sum is σ = 101527308074. Its totient is φ = 101527308072.

The previous prime is 101527308061. The next prime is 101527308131. The reversal of 101527308073 is 370803725101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63994832784 + 37532475289 = 252972^2 + 193733^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101527308073 is a prime.

It is not a weakly prime, because it can be changed into another prime (101527308373) 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, 50763654036 + 50763654037.

It is an arithmetic number, because the mean of its divisors is an integer number (50763654037).

Almost surely, 2^101527308073 is an apocalyptic number.

It is an amenable number.

101527308073 is a deficient number, since it is larger than the sum of its proper divisors (1).

101527308073 is an equidigital number, since it uses as much as digits as its factorization.

101527308073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 37.

It can be divided in two parts, 101527 and 308073, that added together give a square (409600 = 640²).

The spelling of 101527308073 in words is "one hundred one billion, five hundred twenty-seven million, three hundred eight thousand, seventy-three".