1311343020 has 240 divisors, whose sum is σ = 4497691968. Its totient is φ = 317882880.

The previous prime is 1311342983. The next prime is 1311343031. The reversal of 1311343020 is 203431131.

It is a super-2 number, since 2×1311343020² = 3439241032205440800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311342984 and 1311343002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1494822 + ... + 1495698.

Almost surely, 2^1311343020 is an apocalyptic number.

1311343020 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 1311343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248845984).

1311343020 is an abundant number, since it is smaller than the sum of its proper divisors (3186348948).

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

1311343020 is a wasteful number, since it uses less digits than its factorization.

1311343020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1311343020 is about 36212.4705039576. The cubic root of 1311343020 is about 1094.5579750890.

Adding to 1311343020 its reverse (203431131), we get a palindrome (1514774151).

The spelling of 1311343020 in words is "one billion, three hundred eleven million, three hundred forty-three thousand, twenty".