1311162320 has 40 divisors (see below), whose sum is σ = 3282951336. Its totient is φ = 484121088.

The previous prime is 1311162313. The next prime is 1311162323. The reversal of 1311162320 is 232611131.

It can be written as a sum of positive squares in 4 ways, for example, as 280495504 + 1030666816 = 16748^2 + 32104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 1311162292 and 1311162301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311162323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629327 + ... + 631406.

Almost surely, 2^1311162320 is an apocalyptic number.

1311162320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311162320 is an abundant number, since it is smaller than the sum of its proper divisors (1971789016).

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

1311162320 is a wasteful number, since it uses less digits than its factorization.

1311162320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260759 (or 1260753 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1311162320 is about 36209.9754211460. The cubic root of 1311162320 is about 1094.5076969369.

Adding to 1311162320 its reverse (232611131), we get a palindrome (1543773451).

The spelling of 1311162320 in words is "one billion, three hundred eleven million, one hundred sixty-two thousand, three hundred twenty".