1311313321240 has 128 divisors (see below), whose sum is σ = 3373967520000. Its totient is φ = 454389424128.

The previous prime is 1311313321183. The next prime is 1311313321271. The reversal of 1311313321240 is 421233131131.

It is a super-2 number, since 2×1311313321240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2872641 + ... + 3297679.

It is an arithmetic number, because the mean of its divisors is an integer number (26359121250).

Almost surely, 2^{1311313321240} is an apocalyptic number.

1311313321240 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 1311313321240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686983760000).

1311313321240 is an abundant number, since it is smaller than the sum of its proper divisors (2062654198760).

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

1311313321240 is a wasteful number, since it uses less digits than its factorization.

1311313321240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425429 (or 425425 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 1311313321240 its reverse (421233131131), we get a palindrome (1732546452371).

The spelling of 1311313321240 in words is "one trillion, three hundred eleven billion, three hundred thirteen million, three hundred twenty-one thousand, two hundred forty".