103333200123213 has 8 divisors (see below), whose sum is σ = 153086222404800. Its totient is φ = 68888800082124.

The previous prime is 103333200123163. The next prime is 103333200123233. The reversal of 103333200123213 is 312321002333301.

103333200123213 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 3 + 320 + 0 + 12 + 321 + 3 = 666.

It is not a de Polignac number, because 103333200123213 - 2¹⁶ = 103333200057677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3827155560119 = 103333200123213 / (1 + 0 + 3 + 3 + 3 + 3 + 2 + 0 + 0 + 1 + 2 + 3 + 2 + 1 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103333200123233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1913577780033 + ... + 1913577780086.

It is an arithmetic number, because the mean of its divisors is an integer number (19135777800600).

Almost surely, 2^{103333200123213} is an apocalyptic number.

It is an amenable number.

103333200123213 is a deficient number, since it is larger than the sum of its proper divisors (49753022281587).

103333200123213 is an equidigital number, since it uses as much as digits as its factorization.

103333200123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827155560128 (or 3827155560122 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103333200123213 its reverse (312321002333301), we get a palindrome (415654202456514).

The spelling of 103333200123213 in words is "one hundred three trillion, three hundred thirty-three billion, two hundred million, one hundred twenty-three thousand, two hundred thirteen".