38133002121103 has 24 divisors (see below), whose sum is σ = 42213038731488. Its totient is φ = 34376261787648.

The previous prime is 38133002121101. The next prime is 38133002121121. The reversal of 38133002121103 is 30112120033183.

38133002121103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38133002121103 - 2¹ = 38133002121101 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 (38133002121101) 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 23 ways as a sum of consecutive naturals, for example, 10295650 + ... + 13500607.

It is an arithmetic number, because the mean of its divisors is an integer number (1758876613812).

Almost surely, 2^{38133002121103} is an apocalyptic number.

38133002121103 is a deficient number, since it is larger than the sum of its proper divisors (4080036610385).

38133002121103 is a wasteful number, since it uses less digits than its factorization.

38133002121103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23796511 (or 23796492 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 38133002121103 its reverse (30112120033183), we get a palindrome (68245122154286).

The spelling of 38133002121103 in words is "thirty-eight trillion, one hundred thirty-three billion, two million, one hundred twenty-one thousand, one hundred three".