1002300313221 has 64 divisors (see below), whose sum is σ = 1527825312000. Its totient is φ = 657311842944.

The previous prime is 1002300313207. The next prime is 1002300313237. The reversal of 1002300313221 is 1223130032001.

1002300313221 is a `hidden beast` number, since 10 + 0 + 2 + 300 + 31 + 322 + 1 = 666.

It is not a de Polignac number, because 1002300313221 - 2⁹ = 1002300312709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002300313194 and 1002300313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002300313271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62096170 + ... + 62112308.

It is an arithmetic number, because the mean of its divisors is an integer number (23872270500).

Almost surely, 2^{1002300313221} is an apocalyptic number.

It is an amenable number.

1002300313221 is a deficient number, since it is larger than the sum of its proper divisors (525524998779).

1002300313221 is an frugal number, since it uses more digits than its factorization.

1002300313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16622 (or 16604 counting only the distinct ones).

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

Adding to 1002300313221 its reverse (1223130032001), we get a palindrome (2225430345222).

It can be divided in two parts, 10023003 and 13221, that added together give a square (10036224 = 3168²).

The spelling of 1002300313221 in words is "one trillion, two billion, three hundred million, three hundred thirteen thousand, two hundred twenty-one".