101581025355133 has 2 divisors, whose sum is σ = 101581025355134. Its totient is φ = 101581025355132.

The previous prime is 101581025355119. The next prime is 101581025355167. The reversal of 101581025355133 is 331553520185101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101397911540409 + 183113814724 = 10069653^2 + 427918^2 .

It is a cyclic number.

It is not a de Polignac number, because 101581025355133 - 2¹⁷ = 101581025224061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101581025355133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101581025352133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50790512677566 + 50790512677567.

It is an arithmetic number, because the mean of its divisors is an integer number (50790512677567).

Almost surely, 2^{101581025355133} is an apocalyptic number.

It is an amenable number.

101581025355133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101581025355133 is an equidigital number, since it uses as much as digits as its factorization.

101581025355133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270000, while the sum is 43.

The spelling of 101581025355133 in words is "one hundred one trillion, five hundred eighty-one billion, twenty-five million, three hundred fifty-five thousand, one hundred thirty-three".