103333313313 has 6 divisors (see below), whose sum is σ = 149259230354. Its totient is φ = 68888875536.

The previous prime is 103333313299. The next prime is 103333313333. The reversal of 103333313313 is 313313333301.

103333313313 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 33 + 313 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88630053264 + 14703260049 = 297708^2 + 121257^2 .

It is not a de Polignac number, because 103333313313 - 2¹⁶ = 103333247777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103333313333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5740739620 + ... + 5740739637.

Almost surely, 2^103333313313 is an apocalyptic number.

It is an amenable number.

103333313313 is a deficient number, since it is larger than the sum of its proper divisors (45925917041).

103333313313 is a wasteful number, since it uses less digits than its factorization.

103333313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11481479263 (or 11481479260 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 103333313313 its reverse (313313333301), we get a palindrome (416646646614).

The spelling of 103333313313 in words is "one hundred three billion, three hundred thirty-three million, three hundred thirteen thousand, three hundred thirteen".