100322021313 has 10 divisors (see below), whose sum is σ = 149863760354. Its totient is φ = 66881347488.

The previous prime is 100322021311. The next prime is 100322021339. The reversal of 100322021313 is 313120223001.

100322021313 is a `hidden beast` number, since 10 + 0 + 322 + 0 + 21 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82980291969 + 17341729344 = 288063^2 + 131688^2 .

It is not a de Polignac number, because 100322021313 - 2¹ = 100322021311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100322021311) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 619271656 + ... + 619271817.

Almost surely, 2^100322021313 is an apocalyptic number.

It is an amenable number.

100322021313 is a deficient number, since it is larger than the sum of its proper divisors (49541739041).

100322021313 is an equidigital number, since it uses as much as digits as its factorization.

100322021313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238543485 (or 1238543476 counting only the distinct ones).

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

Adding to 100322021313 its reverse (313120223001), we get a palindrome (413442244314).

The spelling of 100322021313 in words is "one hundred billion, three hundred twenty-two million, twenty-one thousand, three hundred thirteen".