13311124414200 has 288 divisors, whose sum is σ = 44983864888560. Its totient is φ = 3527405107200.

The previous prime is 13311124414151. The next prime is 13311124414223. The reversal of 13311124414200 is 241442111331.

It is a happy number.

13311124414200 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 12 + 441 + 4 + 200 = 666.

It is a super-2 number, since 2×13311124414200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 221022492 + ... + 221082708.

Almost surely, 2^{13311124414200} is an apocalyptic number.

13311124414200 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 13311124414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22491932444280).

13311124414200 is an abundant number, since it is smaller than the sum of its proper divisors (31672740474360).

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

13311124414200 is a wasteful number, since it uses less digits than its factorization.

13311124414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61007 (or 60995 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13311124414200 its reverse (241442111331), we get a palindrome (13552566525531).

It can be divided in two parts, 133111244 and 14200, that added together give a square (133125444 = 11538²).

The spelling of 13311124414200 in words is "thirteen trillion, three hundred eleven billion, one hundred twenty-four million, four hundred fourteen thousand, two hundred".