1311103110200 has 96 divisors (see below), whose sum is σ = 3291947114400. Its totient is φ = 482750799360.

The previous prime is 1311103110197. The next prime is 1311103110211. The reversal of 1311103110200 is 20113011131.

It is a happy number.

It is a super-2 number, since 2×1311103110200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 231074 + ... + 1635726.

It is an arithmetic number, because the mean of its divisors is an integer number (34291115775).

Almost surely, 2^{1311103110200} is an apocalyptic number.

1311103110200 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 1311103110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645973557200).

1311103110200 is an abundant number, since it is smaller than the sum of its proper divisors (1980844004200).

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

1311103110200 is a wasteful number, since it uses less digits than its factorization.

1311103110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405041 (or 1405032 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1311103110200 its reverse (20113011131), we get a palindrome (1331216121331).

The spelling of 1311103110200 in words is "one trillion, three hundred eleven billion, one hundred three million, one hundred ten thousand, two hundred".