13281553771200 has 1512 divisors, whose sum is σ = 57808386745200. Its totient is φ = 2869467955200.

The previous prime is 13281553771117. The next prime is 13281553771217. The reversal of 13281553771200 is 217735518231.

13281553771200 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 1 + 553 + 7 + 71 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 656874691 + ... + 656894909.

Almost surely, 2^{13281553771200} is an apocalyptic number.

13281553771200 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 13281553771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28904193372600).

13281553771200 is an abundant number, since it is smaller than the sum of its proper divisors (44526832974000).

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

13281553771200 is a wasteful number, since it uses less digits than its factorization.

13281553771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20311 (or 20282 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 13281553771200 in words is "thirteen trillion, two hundred eighty-one billion, five hundred fifty-three million, seven hundred seventy-one thousand, two hundred".