1311240311340 has 192 divisors, whose sum is σ = 3928330804608. Its totient is φ = 325638144000.

The previous prime is 1311240311309. The next prime is 1311240311341. The reversal of 1311240311340 is 431130421131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1311240311340.

It is not an unprimeable number, because it can be changed into a prime (1311240311341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241167102 + ... + 241172538.

It is an arithmetic number, because the mean of its divisors is an integer number (20460056274).

Almost surely, 2^{1311240311340} is an apocalyptic number.

1311240311340 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 1311240311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964165402304).

1311240311340 is an abundant number, since it is smaller than the sum of its proper divisors (2617090493268).

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

1311240311340 is a wasteful number, since it uses less digits than its factorization.

1311240311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1311240311340 its reverse (431130421131), we get a palindrome (1742370732471).

The spelling of 1311240311340 in words is "one trillion, three hundred eleven billion, two hundred forty million, three hundred eleven thousand, three hundred forty".