10003120332033 has 8 divisors (see below), whose sum is σ = 13337624423200. Its totient is φ = 6668681564448.

The previous prime is 10003120332019. The next prime is 10003120332041. The reversal of 10003120332033 is 33023302130001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10003120332033 - 2⁴ = 10003120332017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10003120332083) 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 7 ways as a sum of consecutive naturals, for example, 15972463 + ... + 16586916.

It is an arithmetic number, because the mean of its divisors is an integer number (1667203052900).

Almost surely, 2^{10003120332033} is an apocalyptic number.

It is an amenable number.

10003120332033 is a deficient number, since it is larger than the sum of its proper divisors (3334504091167).

10003120332033 is a wasteful number, since it uses less digits than its factorization.

10003120332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32661791.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10003120332033 its reverse (33023302130001), we get a palindrome (43026422462034).

The spelling of 10003120332033 in words is "ten trillion, three billion, one hundred twenty million, three hundred thirty-two thousand, thirty-three".