103513144044033 has 16 divisors (see below), whose sum is σ = 153353162527360. Its totient is φ = 69008602254768.

The previous prime is 103513144043971. The next prime is 103513144044041. The reversal of 103513144044033 is 330440441315301.

103513144044033 is a `hidden beast` number, since 1 + 0 + 35 + 13 + 144 + 0 + 440 + 33 = 666.

It is not a de Polignac number, because 103513144044033 - 2⁴² = 99115097532929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103513144044533) 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 15 ways as a sum of consecutive naturals, for example, 8005116 + ... + 16465362.

It is an arithmetic number, because the mean of its divisors is an integer number (9584572657960).

Almost surely, 2^{103513144044033} is an apocalyptic number.

It is an amenable number.

103513144044033 is a deficient number, since it is larger than the sum of its proper divisors (49840018483327).

103513144044033 is an equidigital number, since it uses as much as digits as its factorization.

103513144044033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913413 (or 8913407 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 103513144044033 its reverse (330440441315301), we get a palindrome (433953585359334).

The spelling of 103513144044033 in words is "one hundred three trillion, five hundred thirteen billion, one hundred forty-four million, forty-four thousand, thirty-three".