10013330330100 has 126 divisors (see below), whose sum is σ = 32578487219670. Its totient is φ = 2670221401920.

The previous prime is 10013330330027. The next prime is 10013330330137. The reversal of 10013330330100 is 103303331001.

10013330330100 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 330 + 330 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 24152889744 + 9989177440356 = 155412^2 + 3160566^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 68605635 + ... + 68751434.

Almost surely, 2^{10013330330100} is an apocalyptic number.

10013330330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013330330100 is an abundant number, since it is smaller than the sum of its proper divisors (22565156889570).

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

10013330330100 is a wasteful number, since it uses less digits than its factorization.

10013330330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137357101 (or 137357079 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10013330330100 its reverse (103303331001), we get a palindrome (10116633661101).

The spelling of 10013330330100 in words is "ten trillion, thirteen billion, three hundred thirty million, three hundred thirty thousand, one hundred".