100331003330 has 48 divisors (see below), whose sum is σ = 188207084520. Its totient is φ = 38463602688.

The previous prime is 100331003329. The next prime is 100331003341. The reversal of 100331003330 is 33300133001.

It can be written as a sum of positive squares in 12 ways, for example, as 19229646241 + 81101357089 = 138671^2 + 284783^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100331003299 and 100331003308.

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 23 ways as a sum of consecutive naturals, for example, 5433794 + ... + 5452226.

Almost surely, 2^100331003330 is an apocalyptic number.

100331003330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100331003330 is a deficient number, since it is larger than the sum of its proper divisors (87876081190).

100331003330 is a wasteful number, since it uses less digits than its factorization.

100331003330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18743 (or 18606 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 100331003330 its reverse (33300133001), we get a palindrome (133631136331).

The spelling of 100331003330 in words is "one hundred billion, three hundred thirty-one million, three thousand, three hundred thirty".