103331122221313 has 8 divisors (see below), whose sum is σ = 118092795923520. Its totient is φ = 88569469722480.

The previous prime is 103331122221311. The next prime is 103331122221317. The reversal of 103331122221313 is 313122221133301.

103331122221313 is digitally balanced in base 8, 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 a cyclic number.

It is not a de Polignac number, because 103331122221313 - 2¹ = 103331122221311 is a prime.

It is a super-3 number, since 3×103331122221313³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103331122221311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7065243 + ... + 16018111.

It is an arithmetic number, because the mean of its divisors is an integer number (14761599490440).

Almost surely, 2^{103331122221313} is an apocalyptic number.

It is an amenable number.

103331122221313 is a deficient number, since it is larger than the sum of its proper divisors (14761673702207).

103331122221313 is an equidigital number, since it uses as much as digits as its factorization.

103331122221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601687.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 103331122221313 its reverse (313122221133301), we get a palindrome (416453343354614).

The spelling of 103331122221313 in words is "one hundred three trillion, three hundred thirty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred thirteen".