100221203313 has 64 divisors (see below), whose sum is σ = 189627863040. Its totient is φ = 50793091200.

The previous prime is 100221203309. The next prime is 100221203321. The reversal of 100221203313 is 313302122001.

It is not a de Polignac number, because 100221203313 - 2² = 100221203309 is a prime.

It is a super-3 number, since 3×100221203313³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100221205313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502645 + ... + 673122.

It is an arithmetic number, because the mean of its divisors is an integer number (2962935360).

Almost surely, 2^100221203313 is an apocalyptic number.

It is an amenable number.

100221203313 is a deficient number, since it is larger than the sum of its proper divisors (89406659727).

100221203313 is a wasteful number, since it uses less digits than its factorization.

100221203313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175835 (or 1175829 counting only the distinct ones).

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

Adding to 100221203313 its reverse (313302122001), we get a palindrome (413523325314).

The spelling of 100221203313 in words is "one hundred billion, two hundred twenty-one million, two hundred three thousand, three hundred thirteen".