10222100313 has 8 divisors (see below), whose sum is σ = 13631066208. Its totient is φ = 6813933984.

The previous prime is 10222100281. The next prime is 10222100321. The reversal of 10222100313 is 31300122201.

10222100313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10222100313 - 2⁵ = 10222100281 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10222100292 and 10222100301.

It is not an unprimeable number, because it can be changed into a prime (10222100353) 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 7 ways as a sum of consecutive naturals, for example, 169395 + ... + 221672.

It is an arithmetic number, because the mean of its divisors is an integer number (1703883276).

Almost surely, 2^10222100313 is an apocalyptic number.

It is an amenable number.

10222100313 is a deficient number, since it is larger than the sum of its proper divisors (3408965895).

10222100313 is an equidigital number, since it uses as much as digits as its factorization.

10222100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399783.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10222100313 its reverse (31300122201), we get a palindrome (41522222514).

The spelling of 10222100313 in words is "ten billion, two hundred twenty-two million, one hundred thousand, three hundred thirteen".