1311968205 has 64 divisors (see below), whose sum is σ = 2444083200. Its totient is φ = 666895680.

The previous prime is 1311968197. The next prime is 1311968239. The reversal of 1311968205 is 5028691131.

It is not a de Polignac number, because 1311968205 - 2³ = 1311968197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1311968205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278056 + ... + 282734.

It is an arithmetic number, because the mean of its divisors is an integer number (38188800).

Almost surely, 2^1311968205 is an apocalyptic number.

1311968205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311968205 is a deficient number, since it is larger than the sum of its proper divisors (1132114995).

1311968205 is a wasteful number, since it uses less digits than its factorization.

1311968205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4791 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1311968205 is about 36221.1016535941. The cubic root of 1311968205 is about 1094.7318915748.

The spelling of 1311968205 in words is "one billion, three hundred eleven million, nine hundred sixty-eight thousand, two hundred five".