13386305212900 has 81 divisors (see below), whose sum is σ = 29254002495753. Its totient is φ = 5316866436000.

The previous prime is 13386305212843. The next prime is 13386305212939. The reversal of 13386305212900 is 921250368331.

The square root of 13386305212900 is 3658730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4819069876644 + 8567235336256 = 2195238^2 + 2926984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5524681089 + ... + 5524683511.

Almost surely, 2^{13386305212900} is an apocalyptic number.

13386305212900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13386305212900 is the 3658730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13386305212900

13386305212900 is an abundant number, since it is smaller than the sum of its proper divisors (15867697282853).

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

13386305212900 is an frugal number, since it uses more digits than its factorization.

13386305212900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 13386305212900 in words is "thirteen trillion, three hundred eighty-six billion, three hundred five million, two hundred twelve thousand, nine hundred".