103322100012133 has 12 divisors (see below), whose sum is σ = 110147982286212. Its totient is φ = 96898264117760.

The previous prime is 103322100012127. The next prime is 103322100012161. The reversal of 103322100012133 is 331210001223301.

It can be written as a sum of positive squares in 6 ways, for example, as 42113117049444 + 61208982962689 = 6489462^2 + 7823617^2 .

It is not a de Polignac number, because 103322100012133 - 2⁹ = 103322100011621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103322100012163) 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 11 ways as a sum of consecutive naturals, for example, 636068110 + ... + 636230527.

It is an arithmetic number, because the mean of its divisors is an integer number (9178998523851).

Almost surely, 2^{103322100012133} is an apocalyptic number.

It is an amenable number.

103322100012133 is a deficient number, since it is larger than the sum of its proper divisors (6825882274079).

103322100012133 is a wasteful number, since it uses less digits than its factorization.

103322100012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272298952 (or 1272298935 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103322100012133 its reverse (331210001223301), we get a palindrome (434532101235434).

The spelling of 103322100012133 in words is "one hundred three trillion, three hundred twenty-two billion, one hundred million, twelve thousand, one hundred thirty-three".