1311331303110 has 128 divisors (see below), whose sum is σ = 3213122204160. Its totient is φ = 342412875776.

The previous prime is 1311331303099. The next prime is 1311331303129. The reversal of 1311331303110 is 113031331131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584631649 + ... + 584633891.

It is an arithmetic number, because the mean of its divisors is an integer number (25102517220).

Almost surely, 2^{1311331303110} is an apocalyptic number.

1311331303110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311331303110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606561102080).

1311331303110 is an abundant number, since it is smaller than the sum of its proper divisors (1901790901050).

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

1311331303110 is a wasteful number, since it uses less digits than its factorization.

1311331303110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 1311331303110 its reverse (113031331131), we get a palindrome (1424362634241).

The spelling of 1311331303110 in words is "one trillion, three hundred eleven billion, three hundred thirty-one million, three hundred three thousand, one hundred ten".