1311355040 has 24 divisors (see below), whose sum is σ = 3098076660. Its totient is φ = 524541952.

The previous prime is 1311355039. The next prime is 1311355099. The reversal of 1311355040 is 405531131.

It can be written as a sum of positive squares in 2 ways, for example, as 1232571664 + 78783376 = 35108^2 + 8876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1311354997 and 1311355015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4097825 + ... + 4098144.

Almost surely, 2^1311355040 is an apocalyptic number.

1311355040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311355040 is an abundant number, since it is smaller than the sum of its proper divisors (1786721620).

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

1311355040 is an equidigital number, since it uses as much as digits as its factorization.

1311355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8195984 (or 8195976 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1311355040 is about 36212.6364685036. The cubic root of 1311355040 is about 1094.5613193822.

Adding to 1311355040 its reverse (405531131), we get a palindrome (1716886171).

The spelling of 1311355040 in words is "one billion, three hundred eleven million, three hundred fifty-five thousand, forty".