100103332033 has 16 divisors (see below), whose sum is σ = 104871407616. Its totient is φ = 95434571520.

The previous prime is 100103332027. The next prime is 100103332039. The reversal of 100103332033 is 330233301001.

It is an interprime number because it is at equal distance from previous prime (100103332027) and next prime (100103332039).

It is a cyclic number.

It is not a de Polignac number, because 100103332033 - 2⁹ = 100103331521 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100103332033.

It is not an unprimeable number, because it can be changed into a prime (100103332039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927341 + ... + 1978597.

It is an arithmetic number, because the mean of its divisors is an integer number (6554462976).

Almost surely, 2^100103332033 is an apocalyptic number.

It is an amenable number.

100103332033 is a deficient number, since it is larger than the sum of its proper divisors (4768075583).

100103332033 is an equidigital number, since it uses as much as digits as its factorization.

100103332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52224.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 100103332033 its reverse (330233301001), we get a palindrome (430336633034).

The spelling of 100103332033 in words is "one hundred billion, one hundred three million, three hundred thirty-two thousand, thirty-three".