13320133312100 has 18 divisors (see below), whose sum is σ = 28904689287474. Its totient is φ = 5328053324800.

The previous prime is 13320133312097. The next prime is 13320133312111. The reversal of 13320133312100 is 121333102331.

13320133312100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 27604516 + 13320105707584 = 5254^2 + 3649672^2 .

It is a super-2 number, since 2×13320133312100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66600666461 + ... + 66600666660.

Almost surely, 2^{13320133312100} is an apocalyptic number.

13320133312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320133312100 is an abundant number, since it is smaller than the sum of its proper divisors (15584555975374).

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

13320133312100 is a wasteful number, since it uses less digits than its factorization.

13320133312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133201333135 (or 133201333128 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13320133312100 its reverse (121333102331), we get a palindrome (13441466414431).

The spelling of 13320133312100 in words is "thirteen trillion, three hundred twenty billion, one hundred thirty-three million, three hundred twelve thousand, one hundred".