103313323113 has 64 divisors (see below), whose sum is σ = 185042952192. Its totient is φ = 49516634880.

The previous prime is 103313323079. The next prime is 103313323121. The reversal of 103313323113 is 311323313301.

It is not a de Polignac number, because 103313323113 - 2¹⁸ = 103313060969 is a prime.

It is a super-3 number, since 3×103313323113³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103313323153) 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 63 ways as a sum of consecutive naturals, for example, 7148931 + ... + 7163367.

It is an arithmetic number, because the mean of its divisors is an integer number (2891296128).

Almost surely, 2^103313323113 is an apocalyptic number.

103313323113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103313323113 is a deficient number, since it is larger than the sum of its proper divisors (81729629079).

103313323113 is a wasteful number, since it uses less digits than its factorization.

103313323113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16854.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 103313323113 its reverse (311323313301), we get a palindrome (414636636414).

It can be divided in two parts, 103313 and 323113, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 103313323113 in words is "one hundred three billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred thirteen".