1311322103300 has 72 divisors (see below), whose sum is σ = 3107898498432. Its totient is φ = 476285040000.

The previous prime is 1311322103291. The next prime is 1311322103309. The reversal of 1311322103300 is 33012231131.

It is an interprime number because it is at equal distance from previous prime (1311322103291) and next prime (1311322103309).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1311322103309) 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 23 ways as a sum of consecutive naturals, for example, 239525 + ... + 1637075.

Almost surely, 2^{1311322103300} is an apocalyptic number.

1311322103300 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 1311322103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553949249216).

1311322103300 is an abundant number, since it is smaller than the sum of its proper divisors (1796576395132).

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

1311322103300 is a wasteful number, since it uses less digits than its factorization.

1311322103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398429 (or 1398422 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1311322103300 its reverse (33012231131), we get a palindrome (1344334334431).

The spelling of 1311322103300 in words is "one trillion, three hundred eleven billion, three hundred twenty-two million, one hundred three thousand, three hundred".