33330000100 has 36 divisors (see below), whose sum is σ = 72583549668. Its totient is φ = 13284544000.

The previous prime is 33330000059. The next prime is 33330000139. The reversal of 33330000100 is 100003333.

It can be written as a sum of positive squares in 6 ways, for example, as 5178529444 + 28151470656 = 71962^2 + 167784^2 .

It is a super-2 number, since 2×33330000100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 564961 + ... + 621160.

It is an arithmetic number, because the mean of its divisors is an integer number (2016209713).

Almost surely, 2^33330000100 is an apocalyptic number.

It is an amenable number.

33330000100 is an abundant number, since it is smaller than the sum of its proper divisors (39253549568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33330000100 is a wasteful number, since it uses less digits than its factorization.

33330000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186416 (or 1186409 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

Adding to 33330000100 its reverse (100003333), we get a palindrome (33430003433).

The spelling of 33330000100 in words is "thirty-three billion, three hundred thirty million, one hundred", and thus it is an aban number.