1311411001340 has 96 divisors (see below), whose sum is σ = 3037461009408. Its totient is φ = 471627360000.

The previous prime is 1311411001279. The next prime is 1311411001343. The reversal of 1311411001340 is 431001141131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311411001343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20121005 + ... + 20186075.

It is an arithmetic number, because the mean of its divisors is an integer number (31640218848).

Almost surely, 2^{1311411001340} is an apocalyptic number.

1311411001340 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 1311411001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518730504704).

1311411001340 is an abundant number, since it is smaller than the sum of its proper divisors (1726050008068).

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

1311411001340 is a wasteful number, since it uses less digits than its factorization.

1311411001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66099 (or 66097 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1311411001340 its reverse (431001141131), we get a palindrome (1742412142471).

The spelling of 1311411001340 in words is "one trillion, three hundred eleven billion, four hundred eleven million, one thousand, three hundred forty".