101222303013 has 12 divisors (see below), whose sum is σ = 157456915980. Its totient is φ = 62290647936.

The previous prime is 101222302997. The next prime is 101222303069. The reversal of 101222303013 is 310303222101.

101222303013 is a `hidden beast` number, since 10 + 122 + 230 + 301 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25477905924 + 75744397089 = 159618^2 + 275217^2 .

It is not a de Polignac number, because 101222303013 - 2⁴ = 101222302997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222303513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432573828 + ... + 432574061.

It is an arithmetic number, because the mean of its divisors is an integer number (13121409665).

Almost surely, 2^101222303013 is an apocalyptic number.

101222303013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101222303013 is a deficient number, since it is larger than the sum of its proper divisors (56234612967).

101222303013 is a wasteful number, since it uses less digits than its factorization.

101222303013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865147908 (or 865147905 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101222303013 its reverse (310303222101), we get a palindrome (411525525114).

The spelling of 101222303013 in words is "one hundred one billion, two hundred twenty-two million, three hundred three thousand, thirteen".