1311123331320 has 64 divisors (see below), whose sum is σ = 4290949088640. Its totient is φ = 317848080000.

The previous prime is 1311123331211. The next prime is 1311123331321. The reversal of 1311123331320 is 231333211131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311123331321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496636306 + ... + 496638945.

It is an arithmetic number, because the mean of its divisors is an integer number (67046079510).

Almost surely, 2^{1311123331320} is an apocalyptic number.

1311123331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311123331320 is an abundant number, since it is smaller than the sum of its proper divisors (2979825757320).

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

1311123331320 is a wasteful number, since it uses less digits than its factorization.

1311123331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993275276 (or 993275272 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1311123331320 its reverse (231333211131), we get a palindrome (1542456542451).

The spelling of 1311123331320 in words is "one trillion, three hundred eleven billion, one hundred twenty-three million, three hundred thirty-one thousand, three hundred twenty".