1311311122320 has 80 divisors (see below), whose sum is σ = 4067576533440. Its totient is φ = 349466875392.

The previous prime is 1311311122271. The next prime is 1311311122343. The reversal of 1311311122320 is 232211131131.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1298839 + ... + 2075958.

It is an arithmetic number, because the mean of its divisors is an integer number (50844706668).

Almost surely, 2^{1311311122320} is an apocalyptic number.

1311311122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311311122320 is an abundant number, since it is smaller than the sum of its proper divisors (2756265411120).

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

1311311122320 is a wasteful number, since it uses less digits than its factorization.

1311311122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376432 (or 3376426 counting only the distinct ones).

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

Adding to 1311311122320 its reverse (232211131131), we get a palindrome (1543522253451).

The spelling of 1311311122320 in words is "one trillion, three hundred eleven billion, three hundred eleven million, one hundred twenty-two thousand, three hundred twenty".