1311323313300 has 1152 divisors, whose sum is σ = 5340378193920. Its totient is φ = 239470387200.

The previous prime is 1311323313263. The next prime is 1311323313319. The reversal of 1311323313300 is 33133231131.

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 383 ways as a sum of consecutive naturals, for example, 2576273446 + ... + 2576273954.

It is an arithmetic number, because the mean of its divisors is an integer number (4635744960).

Almost surely, 2^{1311323313300} is an apocalyptic number.

1311323313300 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 1311323313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670189096960).

1311323313300 is an abundant number, since it is smaller than the sum of its proper divisors (4029054880620).

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

1311323313300 is a wasteful number, since it uses less digits than its factorization.

1311323313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 1311323313300 its reverse (33133231131), we get a palindrome (1344456544431).

The spelling of 1311323313300 in words is "one trillion, three hundred eleven billion, three hundred twenty-three million, three hundred thirteen thousand, three hundred".