100313220321 has 24 divisors (see below), whose sum is σ = 146761472000. Its totient is φ = 66015248832.

The previous prime is 100313220317. The next prime is 100313220331. The reversal of 100313220321 is 123022313001.

100313220321 is a `hidden beast` number, since 10 + 0 + 313 + 2 + 20 + 321 = 666.

It is not a de Polignac number, because 100313220321 - 2² = 100313220317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100313220294 and 100313220303.

It is not an unprimeable number, because it can be changed into a prime (100313220331) 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 23 ways as a sum of consecutive naturals, for example, 4310565 + ... + 4333773.

Almost surely, 2^100313220321 is an apocalyptic number.

It is an amenable number.

100313220321 is a deficient number, since it is larger than the sum of its proper divisors (46448251679).

100313220321 is a wasteful number, since it uses less digits than its factorization.

100313220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29373 (or 29370 counting only the distinct ones).

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

Adding to 100313220321 its reverse (123022313001), we get a palindrome (223335533322).

The spelling of 100313220321 in words is "one hundred billion, three hundred thirteen million, two hundred twenty thousand, three hundred twenty-one".