103882813333 has 8 divisors (see below), whose sum is σ = 115731516600. Its totient is φ = 92585212608.

The previous prime is 103882813327. The next prime is 103882813361. The reversal of 103882813333 is 333318288301.

It can be written as a sum of positive squares in 4 ways, for example, as 23139885924 + 80742927409 = 152118^2 + 284153^2 .

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 103882813333 - 2⁹ = 103882812821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103882813333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103882813303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137775238 + ... + 137775991.

It is an arithmetic number, because the mean of its divisors is an integer number (14466439575).

Almost surely, 2^103882813333 is an apocalyptic number.

103882813333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103882813333 is a deficient number, since it is larger than the sum of its proper divisors (11848703267).

103882813333 is a wasteful number, since it uses less digits than its factorization.

103882813333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275551271.

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 103882813333 in words is "one hundred three billion, eight hundred eighty-two million, eight hundred thirteen thousand, three hundred thirty-three".