101013581 has 2 divisors, whose sum is σ = 101013582. Its totient is φ = 101013580.

The previous prime is 101013559. The next prime is 101013607. The reversal of 101013581 is 185310101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100902025 + 111556 = 10045^2 + 334^2 .

It is a cyclic number.

It is not a de Polignac number, because 101013581 - 2¹⁰ = 101012557 is a prime.

It is a super-2 number, since 2×101013581² = 20407487092887122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101013511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506790 + 50506791.

It is an arithmetic number, because the mean of its divisors is an integer number (50506791).

Almost surely, 2^101013581 is an apocalyptic number.

It is an amenable number.

101013581 is a deficient number, since it is larger than the sum of its proper divisors (1).

101013581 is an equidigital number, since it uses as much as digits as its factorization.

101013581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 101013581 is about 10050.5512784125. The cubic root of 101013581 is about 465.7218233914.

Adding to 101013581 its reverse (185310101), we get a palindrome (286323682).

The spelling of 101013581 in words is "one hundred one million, thirteen thousand, five hundred eighty-one".