13330123330100 has 36 divisors (see below), whose sum is σ = 28952451156300. Its totient is φ = 5327241308160.

The previous prime is 13330123330079. The next prime is 13330123330103. The reversal of 13330123330100 is 103332103331.

It can be written as a sum of positive squares in 6 ways, for example, as 1173088280464 + 12157035049636 = 1083092^2 + 3486694^2 .

It is a super-3 number, since 3×13330123330100³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330123330103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59988845 + ... + 60210644.

Almost surely, 2^{13330123330100} is an apocalyptic number.

13330123330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330123330100 is an abundant number, since it is smaller than the sum of its proper divisors (15622327826200).

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

13330123330100 is a wasteful number, since it uses less digits than its factorization.

13330123330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120200612 (or 120200605 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 13330123330100 its reverse (103332103331), we get a palindrome (13433455433431).

The spelling of 13330123330100 in words is "thirteen trillion, three hundred thirty billion, one hundred twenty-three million, three hundred thirty thousand, one hundred".