13111727731200 has 960 divisors, whose sum is σ = 55133045425920. Its totient is φ = 2989806059520.

The previous prime is 13111727731183. The next prime is 13111727731217. The reversal of 13111727731200 is 213772711131.

13111727731200 is a `hidden beast` number, since 1 + 311 + 1 + 7 + 27 + 7 + 312 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13111727731183) and next prime (13111727731217).

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 1047507342 + ... + 1047519858.

It is an arithmetic number, because the mean of its divisors is an integer number (57430255652).

Almost surely, 2^{13111727731200} is an apocalyptic number.

13111727731200 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 13111727731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27566522712960).

13111727731200 is an abundant number, since it is smaller than the sum of its proper divisors (42021317694720).

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

13111727731200 is a wasteful number, since it uses less digits than its factorization.

13111727731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12994 (or 12967 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 13111727731200 in words is "thirteen trillion, one hundred eleven billion, seven hundred twenty-seven million, seven hundred thirty-one thousand, two hundred".