1311101111200 has 144 divisors (see below), whose sum is σ = 3213857424960. Its totient is φ = 522291968000.

The previous prime is 1311101111123. The next prime is 1311101111237. The reversal of 1311101111200 is 21111011131.

It is a super-2 number, since 2×1311101111200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480431436 + ... + 480434164.

It is an arithmetic number, because the mean of its divisors is an integer number (22318454340).

Almost surely, 2^{1311101111200} is an apocalyptic number.

1311101111200 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 1311101111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606928712480).

1311101111200 is an abundant number, since it is smaller than the sum of its proper divisors (1902756313760).

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

1311101111200 is a wasteful number, since it uses less digits than its factorization.

1311101111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 1311101111200 its reverse (21111011131), we get a palindrome (1332212122331).

The spelling of 1311101111200 in words is "one trillion, three hundred eleven billion, one hundred one million, one hundred eleven thousand, two hundred".