13263065224200 has 288 divisors, whose sum is σ = 49045177827360. Its totient is φ = 3185238604800.

The previous prime is 13263065224193. The next prime is 13263065224313. The reversal of 13263065224200 is 242256036231.

13263065224200 is a `hidden beast` number, since 1 + 32 + 63 + 0 + 6 + 522 + 42 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1011549 + ... + 5248748.

It is an arithmetic number, because the mean of its divisors is an integer number (170295756345).

Almost surely, 2^{13263065224200} is an apocalyptic number.

13263065224200 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 13263065224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24522588913680).

13263065224200 is an abundant number, since it is smaller than the sum of its proper divisors (35782112603160).

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

13263065224200 is a wasteful number, since it uses less digits than its factorization.

13263065224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260437 (or 6260425 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 13263065224200 in words is "thirteen trillion, two hundred sixty-three billion, sixty-five million, two hundred twenty-four thousand, two hundred".