100031221313 has 4 divisors (see below), whose sum is σ = 105915410820. Its totient is φ = 94147031808.

The previous prime is 100031221267. The next prime is 100031221327. The reversal of 100031221313 is 313122130001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 33223446529 + 66807774784 = 182273^2 + 258472^2 .

It is a cyclic number.

It is not a de Polignac number, because 100031221313 - 2²⁶ = 99964112449 is a prime.

It is a super-3 number, since 3×100031221313³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17), and also a Moran number because the ratio is a prime number: 5884189489 = 100031221313 / (1 + 0 + 0 + 0 + 3 + 1 + 2 + 2 + 1 + 3 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100031221291 and 100031221300.

It is not an unprimeable number, because it can be changed into a prime (100031221333) 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 3 ways as a sum of consecutive naturals, for example, 2942094728 + ... + 2942094761.

It is an arithmetic number, because the mean of its divisors is an integer number (26478852705).

Almost surely, 2^100031221313 is an apocalyptic number.

It is an amenable number.

100031221313 is a deficient number, since it is larger than the sum of its proper divisors (5884189507).

100031221313 is an equidigital number, since it uses as much as digits as its factorization.

100031221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884189506.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100031221313 its reverse (313122130001), we get a palindrome (413153351314).

The spelling of 100031221313 in words is "one hundred billion, thirty-one million, two hundred twenty-one thousand, three hundred thirteen".