13111332121200 has 240 divisors, whose sum is σ = 43474766643200. Its totient is φ = 3375071400960.

The previous prime is 13111332121133. The next prime is 13111332121211. The reversal of 13111332121200 is 212123311131.

13111332121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4476201 + ... + 6801399.

Almost surely, 2^{13111332121200} is an apocalyptic number.

13111332121200 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 13111332121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21737383321600).

13111332121200 is an abundant number, since it is smaller than the sum of its proper divisors (30363434522000).

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

13111332121200 is a wasteful number, since it uses less digits than its factorization.

13111332121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325384 (or 2325373 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13111332121200 its reverse (212123311131), we get a palindrome (13323455432331).

The spelling of 13111332121200 in words is "thirteen trillion, one hundred eleven billion, three hundred thirty-two million, one hundred twenty-one thousand, two hundred".