101311028 has 36 divisors (see below), whose sum is σ = 222110532. Its totient is φ = 40078080.

The previous prime is 101311003. The next prime is 101311033. The reversal of 101311028 is 820113101.

It can be written as a sum of positive squares in 2 ways, for example, as 11478544 + 89832484 = 3388^2 + 9478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101310997 and 101311015.

It is a congruent number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 17333 + ... + 22428.

It is an arithmetic number, because the mean of its divisors is an integer number (6169737).

Almost surely, 2^101311028 is an apocalyptic number.

It is an amenable number.

101311028 is an abundant number, since it is smaller than the sum of its proper divisors (120799504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101311028 is a wasteful number, since it uses less digits than its factorization.

101311028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39792 (or 39783 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 101311028 is about 10065.3379476300. The cubic root of 101311028 is about 466.1785006333.

Adding to 101311028 its reverse (820113101), we get a palindrome (921424129).

The spelling of 101311028 in words is "one hundred one million, three hundred eleven thousand, twenty-eight".