101080613585 has 12 divisors (see below), whose sum is σ = 141100285428. Its totient is φ = 69312420576.

The previous prime is 101080613581. The next prime is 101080613603. The reversal of 101080613585 is 585316080101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44005970176 + 57074643409 = 209776^2 + 238903^2 .

It is not a de Polignac number, because 101080613585 - 2² = 101080613581 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101080613581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206286722 + ... + 206287211.

It is an arithmetic number, because the mean of its divisors is an integer number (11758357119).

Almost surely, 2^101080613585 is an apocalyptic number.

It is an amenable number.

101080613585 is a deficient number, since it is larger than the sum of its proper divisors (40019671843).

101080613585 is an equidigital number, since it uses as much as digits as its factorization.

101080613585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412573952 (or 412573945 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 38.

Adding to 101080613585 its reverse (585316080101), we get a palindrome (686396693686).

The spelling of 101080613585 in words is "one hundred one billion, eighty million, six hundred thirteen thousand, five hundred eighty-five".