13312132120100 has 216 divisors, whose sum is σ = 34025062673280. Its totient is φ = 4481328384000.

The previous prime is 13312132120069. The next prime is 13312132120121. The reversal of 13312132120100 is 102123121331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19048661 + ... + 19735139.

Almost surely, 2^{13312132120100} is an apocalyptic number.

13312132120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312132120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17012531336640).

13312132120100 is an abundant number, since it is smaller than the sum of its proper divisors (20712930553180).

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

13312132120100 is a wasteful number, since it uses less digits than its factorization.

13312132120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686599 (or 686575 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13312132120100 its reverse (102123121331), we get a palindrome (13414255241431).

The spelling of 13312132120100 in words is "thirteen trillion, three hundred twelve billion, one hundred thirty-two million, one hundred twenty thousand, one hundred".